Question

question solve for x and graph the solution on the number line below. -7 < -12 + x answer attempt 1 out of 2 inequality notation: number line: click and drag to plot line. -12 -10 -8 -6 -4 -2 0 2 4 6 8 10 12

Explanation:

Step1: Solve the inequality

Given \(-7 < - 12+x\).
Add \(12\) to both sides of the inequality.
\(-7 + 12< - 12+x+12\).
\(5 < x\) or \(x>5\).

Step2: Write the inequality notation

The inequality notation for \(x > 5\) is \((5,\infty)\).

Step3: Graph on the number - line

On the number - line, we draw an open circle at \(x = 5\) (because \(x\) is not equal to \(5\)) and shade to the right of \(5\) since \(x\) is greater than \(5\).

Answer:

Inequality Notation: \((5,\infty)\)
For the number line: Draw an open circle at \(5\) and shade to the right.