Question

question solve for x and graph the solution on the number line below. -2 > -5 + x

Explanation:

Step1: Add 5 to both sides

To isolate \( x \), we add 5 to both sides of the inequality \(-2 > -5 + x\). This gives us \(-2 + 5 > -5 + 5 + x\).

Step2: Simplify both sides

Simplifying the left side: \(-2 + 5 = 3\). Simplifying the right side: \(-5 + 5 = 0\), so we have \( 3 > x \) or \( x < 3 \).

Answer:

The solution for \( x \) is \( x < 3 \). To graph this on a number line, we draw an open circle at 3 (since \( x \) is not equal to 3) and shade the region to the left of 3 to represent all values of \( x \) less than 3.