Question

12x+7<-11 and 5x-8>= 40

Answer 1

no solution

Explanation:

First inequality:

12x < -18 . . . . subtract 7

x < -18/12 . . . divide by 12

x < -1.5 . . . . . . write as decimal

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Second inequality:

5x -8 ≥ 40

5x ≥ 48 . . . . . . add 8

x ≥ 9.6 . . . . . . . divide by 5

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There are no solutions to this pair of inequalities. No value of x can be both less than -1.5 and greater than 9.6.