Question

Determine the solution set of 2x>−8 and −5x+7=12.(1 point)Responses{−4}left brace negative 4 right brace{x|x>−1}left brace x vertical bar x greater than negative 1 right brace{x|x>−4}left brace x vertical bar x greater than negative 4 right brace{−1}

Answer 1

[AI-generated answer — Bot GPT 3.5]

The solution set of 2x > -8 can be found by solving the inequality.

First, divide both sides of the inequality by 2 to isolate x:
x > -4
So the solution set for the first equation is {x | x > -4}.

To solve the equation -5x + 7 = 12, you can subtract 7 from both sides:
-5x = 12 - 7
-5x = 5
Now, divide both sides by -5:
x = -1
So the solution set for the second equation is {-1}.

Therefore, the solution set for the system of equations is {x | x > -4} ∩ {-1}, which simplifies to {x | x > -1}.