Solve (x + 5 < 4) ∩ (x - 3 > -6). {x | -3 < x < -1} {x | x < -3 or x > -1} {all real number Question Solve (x + 5 < 4) ∩ (x – 3 > -6). {x | -3 < x < -1} {x | x < -3 or x > -1} {all real numbers} in progress 0 Math Caroline 3 weeks 2021-09-26T16:51:53+00:00 2021-09-26T16:51:53+00:00 1 Answer 0

## Answers ( )

Answer:{x | -3 < x < -1}, this choice is correct

Step-by-step explanation:From the inequality x + 5 < 4, we rearrange x + 5 – 5 < 4 – 5

x < -1

The other condition is x – 3 > -6, add 3 to both sides.

x > -6 + 3, x > -3

So we look for the intersection of x < -1 and x > -3 on the real number line.

-5, -4, -3, -2, -1, 0 , 1

The intersection goes from -3 to -1 .

-3 < x < -1