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QUESTION IMAGE

solve the inequality $4x \\geq 60$. then describe how the graph of the …

Question

solve the inequality $4x \geq 60$. then describe how the graph of the solution would look on a number line.

Explanation:

Step1: Isolate x

To solve \( 4x \geq 60 \), divide both sides by 4.
\( \frac{4x}{4} \geq \frac{60}{4} \)
Simplifies to \( x \geq 15 \).

Step2: Describe the graph

On a number line, place a closed (filled) circle at 15 (since the inequality is "greater than or equal to," the point is included). Then draw an arrow to the right (toward positive infinity) to represent all numbers greater than or equal to 15.

Answer:

The solution to the inequality is \( x \geq 15 \). On a number line, there is a closed circle at 15, with an arrow pointing to the right.