University:
Bradley University
Course:
MTH 109 | College Algebra
Academic year:

2020
Views:

244

Pages:

2
Author:

Remington Spence

Algebra 1A qJ j Name___________________________________ ID: 1 _X c la tk M o] E Mu l G hI r vd Z b D VW C e U R W U Compound Inequalities - Special Cases (AND) Date________________ Period____ Solve each compound inequality and graph its solution. 1) -12x - 7 > -139 and 9x - 10 < -100 -16 -14 -12 -10 -8 -5 -4 -3 -2 -1 -6 3) 17 £ -3 + 5m < 12 0 1 2 3 4 No solution. 2 3 4 5 6 7 -4 -3 -2 -1 6 7 8 9 10 11 12 13 14 15 16 17 0 1 2 6) 5m + 10 > 10 and 8m + 11 > -85 3 4 5 6 7 8 No solution. -3 -2 -1 0 1 2 3 4 5 6 7 8 9 m>0 7) 5x - 1 ³ -21 and 5x + 5 > 25 3 5 n ³ 12 5) 20 £ 9x + 2 £ -61 4 5 6 7 8 9 8) 2 - 3r £ 29 and -2 - 2r £ -26 10 11 12 13 10 11 12 13 14 15 16 17 18 19 20 21 22 r ³ 12 x>4 9) 15n - 2 £ -15 + 14n and 5n - 17 > 11n + 13 -18 1 4) -5n - 8 £ -68 and 9n - 9 ³ 45 -8 -7 -6 -5 -4 -3 -2 -1 2 0 a³4 x < -10 1 2) 11 + 11a > -33 and 10 + 4a ³ 26 -16 -14 -12 -10 -8 10) 15n + 6 < 9 + 15n and 18n + 6 £ -16 + 16n -6 n £ -13 -16 -14 -12 -10 -8 -6 n £ -11 11) 19b - 11 < 12b + 17 £ 7 + 14b -8 -7 -6 -5 -4 -3 -2 -1 0 1 2 3 4 12) 9n - 4 < 4 + 7n £ 5n - 6 5 6 No solution. -10 -8 -6 -4 -2 0 2 n £ -5 14) 9 p + 9 £ 9 p + 17 and 5 + 10 p < 6 p + 5 13) 5a - 1 £ 3a - 1 < 11a - 9 -8 -7 -6 -5 -4 -3 -2 -1 0 1 2 3 4 No solution. -6 -5 -4 -3 -2 -1 0 1 2 3 4 5 6 p<0 15) -13a - 1 £ 6 - 12a < 12 - 12a -12 -10 -8 -6 -4 -2 0 a ³ -7 Worksheet by Kuta Software LLC 16) -1 + 10n > 8 + 11n and 11n + 18 > 15n - 18 -14 -12 -10 -8 -6 -4 n < -9 17) 10 + 17x > 6 + 15x and 4x - 11 £ 5x - 16 -4 -3 -2 -1 0 1 2 3 4 5 6 7 8 x³5 -24 -22 -20 -18 -16 -14 -8 -7 -6 -5 -4 -3 -2 -1 0 20) -78 £ -12b - 6 £ -90 1 2 3 4 5 6 7 No solution. -16 -14 -12 -10 -8 -6 10 11 12 13 14 15 16 17 18 19 20 b ³ 16 3 4 5 6 -16 -14 -12 -10 -8 -6 24) 9k - 11 ³ -20 and 1 - 4k < 69 -9 -8 -7 -6 -5 -4 -3 -2 -1 0 1 2 3 k ³ -1 25) 2r + 9 > 9 and 6 - 6r ³ 24 -4 -3 -2 -1 0 1 2 3 4 5 26) 9v - 1 < -64 and 6v - 7 £ 17 6 7 8 No solution. 9 -12 -10 -8 -6 -4 -2 0 v < -7 27) 3x - 6 > 21 and 10x + 7 ³ 107 8 2 n < -7 23) 19 + 20b ³ 339 and 10 + 4b ³ -22 x ³ 10 1 22) 18n - 19 < -145 and 2 - 13n ³ -180 -4 a > -10 9 -8 -7 -6 -5 -4 -3 -2 -1 0 No solution. 21) 15a - 5 ³ -305 and 8 + 17a > -162 7 -26 n £ -16 19) 18 £ 12 - 6x < -60 8 18) 6n - 20 ³ 7n - 15 ³ 1 + 8n 10 11 12 13 14 15 16 17 18 19 28) 2k - 7 < 11 and -2k - 9 > -11 -8 -7 -6 -5 -4 -3 -2 -1 0 1 2 3 4 k<1 Kuta Software LLC