Question

solve the inequality and graph the solution.
5q ≤ 10
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.
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Explanation:

Step1: Isolate the variable \( q \)

Divide both sides of the inequality \( 5q\leq10 \) by \( 5 \).
$$\frac{5q}{5}\leq\frac{10}{5}$$

Step2: Simplify

Simplify the left - hand side \( \frac{5q}{5}=q \) and the right - hand side \( \frac{10}{5} = 2 \). So, \( q\leq2 \).

To graph \( q\leq2 \):

• Plot a closed endpoint at \( q = 2 \) (because the inequality is \( \leq \), which includes the value \( 2 \)).
• Draw an arrow to the left (since \( q \) can be any value less than or equal to \( 2 \)).

Answer:

The solution of the inequality \( 5q\leq10 \) is \( q\leq2 \). On the number line, there is a closed circle at \( 2 \) and an arrow pointing to the left.