Question

Determine the solution set of 2x>−8 and −5x+7=12.(1 point)
Responses

{x|x>−1}
left brace x vertical bar x greater than negative 1 right brace

{−1}
left brace negative 1 right brace

{−4}
left brace negative 4 right brace

{x|x>−4}
left brace x vertical bar x greater than negative 4 right brace

Answer 1

The solution set for 2x > -8 is {x | x > -4}, which means any value of x that is greater than -4 would satisfy the inequality.

The solution for -5x + 7 = 12 is {x | x = -1}, which means x is equal to -1.

So, the combined solution set for both equations is {x | x > -4} U {x | x = -1}, which means any value of x that is greater than -4 or equal to -1 would satisfy both equations.