The solution set for all real numbers x such that 2x + 3 < 19 and 2x − 3 ≤ -7 is

Simplify each inequality independents.
2x +  3 < 19                   and 2x - 3 ≤-7
2x <19 -3                                2x ≤ -7 +3
2x < 16                                    2x ≤ -4
 x <8                                        x ≤ -2
                

The solution set for all real numbers x are that will satisfy both inequalities are: (-2, -3, -4, -5 )