Question

solve the inequality and graph the solution.
5 - 2 ≥ 4
to draw a ray, plot an endpoint and select an arrow. select an endpoint to change it from closed to open. select the middle of the ray to delete it.
(number line from 0 to 10 with ticks at each integer, and a submit button)

Explanation:

Step1: Solve the inequality

We start with the inequality \( s - 2\geq4 \). To isolate \( s \), we add 2 to both sides of the inequality.
\( s - 2+ 2\geq4 + 2 \)
Simplifying both sides, we get \( s\geq6 \).

Step2: Graph the solution

• Endpoint: Since the inequality is \( s\geq6 \), the endpoint at \( s = 6 \) is closed (because the inequality includes equality, so we use a closed dot at 6).
• Arrow direction: We draw an arrow starting from the closed dot at 6 and pointing to the right (towards positive infinity) because we want all values of \( s \) that are greater than or equal to 6.

Answer:

The solution to the inequality \( s - 2\geq4 \) is \( s\geq6 \). To graph it, place a closed dot at 6 on the number line and draw an arrow to the right from 6.