Question

2x>−8 and −5x+7=12

Answer 1

Let's solve the inequalities and equation step-by-step.

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

To isolate \(x\), divide both sides by 2:

\[
x > -4
\]

2. **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.