Question

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 1

The answer is D. X<-2 or X>5

Answer 2

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