Solve the following compound inequality. 5x+7< -3 or 3x-4> 11
a. x< -15 or x > 12
b. -2 < x < 5
c. x > 5
d. x < -2 or x > 5

Answer with Step-by-step explanation:

we have to solve the compound inequality

5x+7<-3 or 3x-4>11

5x+7<-3

subtract both sides by 7

5x<-10

Dividing by 5 on both sides

x<-2

3x-4>11

adding both sides by 4

3x>15

dividing both sides by 3

x>5

Hence, solution of the compound inequality is:

D. X <-2 or X > 5

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