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}
The correct solution set is {x|x>-1}.
To determine the solution set, we need to solve each equation separately.
1. 2x > -8:
Divide both sides of the inequality by 2:
x > -4
2. -5x + 7 = 12:
Subtract 7 from both sides of the equation:
-5x = 5
Divide both sides of the equation by -5:
x = -1
Thus, the solution set is {x | x > -1}.