Question

Which of the following is the solution to the compound inequality below?

5 + x 23
or
6x+1<-29
A. X2-2 or X<-5
O B. x2 - 22 or xc - 14
C.X22 or X<5
14
D. 28
or X

Answer 1

`x \ge -2` or
`x < -5`

Explanation:

Given

`5+x\ge3` or
`6x+1<-29`

Required

The solution

`5+x\ge3`

Solve for x

`x \ge 3 - 5`

`x \ge -2`

`6x+1<-29`

Solve for 6x

`6x < -29 - 1`

`6x < -30`

Solve for x

`x < -30/6`

`x < -5`

Hence, the solution is:

`x \ge -2` or
`x < -5`