Question

let g be the speed of a go - kart, in miles per hour. write an inequality to represent the situation.
$gleq20$
graph the inequality $gleq20$.

Explanation:

Step1: Analyze the inequality symbol

The inequality \(g\leq20\) has a “\(\leq\)” symbol. In graphing, a “\(\leq\)” or “\(\geq\)” symbol means we use a closed - circle.

Step2: Locate the number on the number - line

Locate the number \(20\) on the given number - line.

Step3: Determine the direction of the arrow

Since \(g\) is less than or equal to \(20\), the arrow should point to the left (towards the smaller numbers).

Answer:

We place a closed - circle at \(20\) on the number - line and draw an arrow to the left from \(20\).