Question

use the drawing tool(s) to form the correct answer on the number line.
graph the solution to this inequality on the number line.
$-4x + 7 > x - 13$

Explanation:

Step1: Isolate x terms

Subtract $x$ from both sides:
$-4x - x + 7 > -13$
$\implies -5x + 7 > -13$

Step2: Isolate constant terms

Subtract 7 from both sides:
$-5x > -13 - 7$
$\implies -5x > -20$

Step3: Solve for x (reverse inequality)

Divide by $-5$, reverse inequality sign:
$x < \frac{-20}{-5}$
$\implies x < 4$

Step4: Graph setup on number line

1. Place an open point at $x=4$ (since inequality is strict, no equality).
2. Draw a ray pointing left from $x=4$ (to represent all values less than 4).

Answer:

The solution is $x < 4$, graphed with an open point at 4 and a ray extending leftward on the number line.