Question

solve the inequality and graph the solution.
4q ≥ 8
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: Isolate the variable q

Divide both sides of $4q\geq8$ by 4.
$q\geq\frac{8}{4}$

Step2: Simplify the right - hand side

$q\geq2$

To graph the solution on the number line:

• Place a closed circle at 2 (since the inequality is $\geq$, the endpoint 2 is included in the solution set).
• Draw a ray to the right of 2 to represent all the values of q that satisfy the inequality.

Answer:

The solution of the inequality is $q\geq2$. On the number line, place a closed circle at 2 and draw a ray to the right.