Question

graph the solution to $-5x < 35$ on the number line.
select a tool below:
point (inclusive) point (exclusive) line erase erase all
click on the number line to plot an inclusive point.

Explanation:

Step1: Solve the inequality

Given \(-5x < 35\). Divide both sides by \(- 5\). When dividing an inequality by a negative number, the inequality sign flips. So \(x>-7\).

Step2: Graph the solution

Since \(x > - 7\), we use an exclusive point (open circle) at \(x=-7\) and draw a line to the right (towards positive infinity) on the number - line.

Answer:

Use the "Point (Exclusive)" tool to mark \(-7\) on the number line (an open circle at \(-7\)), then use the "Line" tool to draw a line from that open circle towards the positive direction (to the right) on the number line.