Question

solve the inequality and graph the solution.
\\(\frac{q}{3}-44 \geq - 45\\)
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: Solve the inequality

First, solve $\frac{q}{3}-44>2 - 45$. Simplify the right - hand side: $2-45=-43$. Then the inequality becomes $\frac{q}{3}-44>-43$. Add 44 to both sides: $\frac{q}{3}>-43 + 44$, so $\frac{q}{3}>1$. Multiply both sides by 3 to get $q > 3$.

Step2: Graph the solution

On the number line, since $q>3$, we use an open - circle at $q = 3$ (because 3 is not included in the solution set) and draw a ray to the right of 3.

Answer:

The solution of the inequality is $q>3$. On the number line, place an open - circle at 3 and draw a ray to the right.