Question

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

Answer 1

(x + 5 < 4) ∩ (x - 3 > -6).
(x< -1) ∩ (x > -3).
∩= Intersect,so if A ∩ B then it means the set that contains all those elements that A and B have in common
(x< -1) ∩ (x > -3). have -2 in common
therefore the answer is:
{x | -3 < x < -1}

any questions just let me know.

hope that helps

Answer 2

thanks