Question

question solve for x and graph the solution on the number line below. -7 < -12 + x

Explanation:

Step1: Add 12 to both sides

To isolate \( x \), we add 12 to both sides of the inequality \( -7 < -12 + x \). This gives us \( -7 + 12 < -12 + x + 12 \).

Step2: Simplify both sides

Simplifying the left side: \( -7 + 12 = 5 \). Simplifying the right side: \( -12 + x + 12 = x \). So the inequality becomes \( 5 < x \) or \( x > 5 \).

Answer:

The solution is \( x > 5 \). To graph this on a number line, we draw an open circle at 5 (since 5 is not included in the solution) and draw an arrow to the right to represent all numbers greater than 5.