Let's solve the inequalities and equation step-by-step.
- Solving the inequality \(2x > -8\):
To isolate \(x\), divide both sides by 2:
\[ x > -4 \]
- Solving the equation \(-5x + 7 = 12\):
First, subtract 7 from both sides:
\[ -5x = 12 - 7 \] \[ -5x = 5 \]
Next, divide both sides by -5 (remember to reverse the inequality sign when dividing by a negative number):
\[ x = -1 \]
Summary of Results:
- The solution to the inequality \(2x > -8\) is \(x > -4\).
- The solution to the equation \(-5x + 7 = 12\) is \(x = -1\).
So, the two results are:
- Inequality: \(x > -4\)
- Equation: \(x = -1\)
Since \(-1 > -4\), the value of \(x\) from the equation satisfies the inequality as well.