determine the solution set of 2 x>-8 and -5+7=12

Answer 1

Let's solve each part of your problem separately.

1. Solve the inequality \( 2x > -8 \):

   To isolate \( x \), divide both sides of the inequality by 2: \[ x > \frac{-8}{2} \] \[ x > -4 \]

   So, the solution set for the inequality \( 2x > -8 \) is: \[ x > -4 \]

2. Evaluate the equation \( -5 + 7 = 12 \):

   This equation is incorrect; let's calculate the left side: \[ -5 + 7 = 2 \]

   Therefore, \( -5 + 7 \neq 12 \). The equation has no solutions.

Summary of Results:

• The solution set for the inequality \( 2x > -8 \) is \( x > -4 \).
• The equation \( -5 + 7 = 12 \) is false and has no solutions.