Solve (x + 5 < 4) ∩ (x - 3 > -6). -3 < x < -1 x < -3 or x > -1 {all real numbers}

Question

Solve (x + 5 < 4) ∩ (x - 3 > -6).

x
x < -3 or x > -1
{all real numbers}

Answer 1

-3 < x < -1, this choice is correct

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