Transcription of ORCCA: Answers to Selected Exercises
1 ORCCA: Answers to Selected ExercisesCorresponds to Version Exercises1. 4c. $1, 77859. 37063. walked a totalof2340miles two runnerswho ran the shortest distanceran a total reach the totalheight of12centimeters,18layers of tiles are page in thisbook is416inches in does not Exercises1.{ 4,4}2.{2,4,6,8}3.{1,4,5} of these numbers are real numbers,since they can all be located on a of these numbers are real numbers,since they can all be located on a Since all whole numbers belong to inte-gers, we cannot write any whole num-ber which is not an Any negative integer, like 1, is not awhole number, but is an Any terminating decimal, , is arational number, but is not an All irrational numbers are non-repeating and non-terminating deci-mals. No irrational numbers are natural numberb. rational numberc. irrational numberd. rational numbere. rational numberf. natural Exercises1.
2 4< 3<4<8<93. < < < < 9< 354<1<178<2347. 4< 3<4<8< ; false; true; false; true; true11.>13.> Interval notaion:[ 3,0]Set-builder notation:{x| 3 x 0}b. Interval notaion:( 4,1)Set-builder notation:{x| 4< x <1}c. Interval notaion:( 1,1]Set-builder notation:{x| 1< x 1} Interval notaion:[ 4, 1) [2,4]Set-builder notation:{x| 4 x < 1or2 x 4}b. Interval notaion:[ 4, 1] [1,2)Set-builder notation:{x| 4 x 1or1 x <2}c. Interval notaion:( 4, 3) (2,4]Set-builder notation:{x| 4< x < 3or2< x 4} line: 551015200xThe set-builder notation for the interval is{x|0 x 15}, and the interval notationfor the interval is[0,15]. :s > notation:{s|s > }Interval notation:( , ) :c <2 Set-builder notation:{c|c <2}Interval notation:( ,2)17.( ,10]19.( , 6)21.( , 2)25.(92, )27.( ,0] 57. ) 42) )122) )172)123) 104) )80b) pentagon s area is450 rectangle s area is150 m2. Therectangle s perimeter is50 triangle s area m2d. 64m2 trapezoid s area is92 temperature is10 ) The height inside a camping tent ftfrom the edge of the tent ) The height inside a camping tent ftfrom the edge of the tent nota solution forxin the equationx 3 = nota solution foryin the equation 10y 3 = 5is nota solution forzin the equation z 9 = 7z 8is nota solution forrin the equation9(r 4) = 9is nota solution forrin the equation5(r+ 1) = 3(r 5).
3 Solution forxin the equation 5x+ 7 = 2is nota solution fortin the equa-tion74t 23=45t 5 is not a solution to the 0 is not a solution to the 14 is a solution to the 2 is not a solution to the 4 is a solution to the 0 is a solution to the 13 is not a solution to the 1 is a solution to the nota solution formin the equa-tion275 19m= implies the tankwill nothave47gallonsof water nota solution foryin the implies therewill notbe14million dol-lars left The solution is to this equation is10and the solution set is{10}.b. The solution to this equation is that72and the solution set is{72}. 4 The solution is 4 and the solution set is{4}. 9 The solution is 9and the solution set is{ 9}. 54 The solution is 54and the solutin set is{ 54}. 97 The solution is97and the solution set is{97}. 4 The solution is4and the solution set is{4}. 8 The solution is 8and the solution set is{ 8}. solution is35and the solution set is{35}.
4 16 The solution is 16and the solution set is{ 16}. 0 The solution is0and the solution set is{0}. 11 The solution is11and the solution set is{11}. 14 The solution is 14and the solution setis{ 14}. 14 The solution is14and the solution setis We can also say that{14}. 30 The solution is30and the solution set is{30}. 28 The solution is 28and the solution setis{ 28}. 28 The solution is28and the solution setis{28}. 6 The solution is 6and the solution setis{ 6}. 6 The solution is6and the solution set is{6}. 125 The solution is 125and the solution set is{ 125}. solution is97and the solution set is{97}. 5 The solution is 5and the solution set is{ 5}. 8 The solution is 8and the solution set is{ 8}. 25 The solution is 2and the solution setis{ 2}. 143 The solution is 143and the solution setis{ 143}. 15 The solution is15and the solution set is{15}. 18 The solution is18and the solution set is{18}. 45 The solution is45and the solution set is{45}.
5 4 The solution is4and the solution set is{4}. 6 The solution is6and the solution set is{6}. This circle s diameter is4 This circle s radius is4 cylinder s height is6 prism s height is 30 solution in set-builder notation is{x|x >7}.The solution in interval notation is(7, ). solution in set-builder notation is{x|x 4}.The solution in interval notation is[ 4, ). solution in set-builder notation is{x|x 3}.The solution in interval notation is( ,3]. solution in set-builder notation is{x|x 2}.The solution in interval notation is( , 2]. solution in set-builder notation is{x|x < 9}.The solution in interval notation is( , 9). solution in set-builder notation is{x|x >8}.The solution in interval notation is(8, ). solution in set-builder notation is{x|x > 7}.The solution in interval notation is( 7, ). solution in set-builder notation is{x|x > 4}.The solution in interval notation is( 4, ). solution in set-builder notation is{x|x 9}.)
6 The solution in interval notation is( ,9]. are350registered Independentresidents in this will pay$ total (in-cluding bill and tip). made70%of free throws in thepast few are300signatures by Sting inthis this town,36%of all registered vot-ers are county alcohol solution weighs290 recommended daily intake of fat foran average person is70 percentage increase of the shelter scat population is percentage decrease of the town spopulation was + + + = + 66 + 6m= x= 2 = Exercises1. 13.(r+ 60) + + 4211.(r+ 42) 713. 7r + 5417. 3r+ + + (a+p) + 7x2 70x35. 8x2 40x36. 2x3+ + ) z22)4z43)2z2+ 3z4)6z347. 80a2 + 45n+ 851. 16x5 10 The solution is10and the solution set is{10}. 3 The solution is3and the solution set is{3}. 5 The solution is 5and the solution set is{ 5}. 10 The solution is 10and the solution set is{ 10}. 6 The solution is 6and the solution set is{ 6}.
7 7 The solution is 7and the solution set is{ 7}. 0 The solution is0and the solution set is{0}. 18 The solution is18and the solution setis{18}. 18 The solution is 18and the solution setis{ 18}. 0 The solution is0and the solution set is{0}. school 9 The solution is9and the solution set is{9}. 6 The solution is6and the solution set is{6}. 7 The solution is 7and the solution set is{ 7}. 32 The solution is 32and the solution set is{ 32}. would take the shorter tree19yearsto catch up with the taller 2 The solution is2and the solution set isa{2}. 4 The solution is 4and the solution set is{ 4}. 1 The solution is1and the solution set is{1}. 5 The solution is 5and the solution set is{ 5}. 4 The solution is4and the solution set is{4}. 6 The solution is6and the solution set is{6}. 3 The solution is3and the solution set is{3}. 2 The solution is 2and the solution set is{ 2}. 2 The solution is 2and the solution set is{ 2}.
8 7 The solution is7and the solution set is{7}. 0 The solution is0and the solution set is{0}. rectangle s height is 11 the rectangle s width is16 in. Itslength is21 rectangle s width is23 ft. Itslength is73 solution in set-builder notation is{x|x >7}.The solution in interval notation is(7, ). solution in set-builder notation is{x|x >5}.The solution in interval notation is(5, ). solution in set-builder notation is{x|x 2}.The solution in interval notation is( ,2]. solution in set-builder notation is{x|x 6}.The solution in interval notation is( , 6]. solution in set-builder notation is{x|x >6}.The solution in interval notation is(6, ). solution in set-builder notationis{x|x 8}.The solution in interval notation is[8, ). solution in set-builder notationis{z|z 8}.The solution in interval notation is[8, ). solution in set-builder notationis{a|a >2}.The solution in interval notation is(2, ). solution in set-builder notationis{p|p 0}.
9 The solution in interval notation is( ,0]. solution in set-builder notationis{p|p <10}.9 The solution in interval notation is( ,10). solution in set-builder notationis{x|x 7}.The solution in interval notation is( , 7]. solution in set-builder notationis{z|z 7}.The solution in interval notation is( ,7]. solution in set-builder notationis{y|y > 6}.The solution in interval notation is( 6, ). solution in set-builder notationis{x|x < 9}.The solution in interval notation is( , 9). 10 The solution is10and the solution set is{10}. 60 The solution is60and the solution set is{60}. 30 The solution is30and the solution set is{30}. 54 The solution is54and the solution setis{54}. 54 The solution is54and the solution setis{54}. 54 The solution is54and the solution setis{54}. 54 The solution is 54and the solution setis{ 54}. 54 The solution is54and the solution set is{54}. 8 The solution is8and the solution set is{8}.)))
10 Solution is634and the solution set is{634}. 24 The solution is24and the solution set is{24}. 811 The solution is 811and the solution set is{ 811}. 36 The solution is36and the solution set is{36}. 1532 The solution is 1532and the solution set is{ 1532}. solution is16110and the solution set is{16110}. 18 The solution is18and the solution set is{18}. solution in set-builder notation is{x|x >18}.The solution in interval notation is(18, ). solution in set-builder notation is{x|x <14}.The solution in interval notation is( ,14). solution in set-builder notation is{x|x 6}.10 The solution in interval notation is( ,6]. solution in set-builder notation is{y|y > 18}.The solution in interval notation is( 18, ). solution in set-builder notation is{t|t <60}.The solution in interval notation is( ,60). solution in set-builder notation is{x|x 30}.The solution in interval notation is( ,30]. solution in set-builder notation is{z|z >45}.))
