Question

solve the inequality and graph the solution.
37 ≥ q + 33
plot the endpoints. select an endpoint to change it from closed to open. select the middle of the segment, ray, or line to delete it.

Explanation:

Step1: Subtract 33 from both sides

$$37 - 33\geq q+33 - 33$$

Step2: Simplify

$$4\geq q$$
which can be rewritten as $$q\leq4$$

To graph \(q\leq4\) on the number - line:

• Place a closed circle at \(q = 4\) (because the inequality is \(\leq\), which includes the value \(4\)).
• Draw a ray to the left of \(4\) (since \(q\) can be any number less than or equal to \(4\)).

Answer:

The solution of the inequality \(37\geq q + 33\) is \(q\leq4\). On the number - line, there is a closed circle at \(4\) and a ray extending to the left.