Question

Solve (x + 5 < 4) ∩ (x - 3 > -6).

Answer 1

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