Question

solve the inequality and graph the solution. 15q < 90 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.

Explanation:

Step1: Isolate the variable q

Divide both sides of the inequality $15q < 90$ by 15. Since 15>0, the inequality sign remains the same. So we have $\frac{15q}{15}<\frac{90}{15}$.

Step2: Simplify the right - hand side

$\frac{15q}{15}=q$ and $\frac{90}{15} = 6$, so $q<6$.

Answer:

The solution of the inequality is $q < 6$. To graph it, plot an open - circle at 6 (because 6 is not included in the solution set) and draw a ray to the left.