Question

question solve for x and graph the solution on the number line below. ( \frac{x}{-4} > -2 )

Explanation:

Step1: Multiply both sides by -4

When multiplying both sides of an inequality by a negative number, the inequality sign flips. So we have:
$\frac{x}{-4} \times (-4) < -2 \times (-4)$

Step2: Simplify both sides

Simplifying the left side gives $x$, and simplifying the right side gives $8$. So we get:
$x < 8$

Answer:

The solution for \( x \) is \( x < 8 \). To graph this on a number line, we draw an open circle at \( 8 \) (since \( x \) is not equal to \( 8 \)) and shade the region to the left of \( 8 \) to represent all values of \( x \) less than \( 8 \).