Sovi.AI - AI Math Tutor

Scan to solve math questions

QUESTION IMAGE

solve the inequality and graph the solution. $\frac{g}{2}geq - 1$ plot …

Question

solve the inequality and graph the solution.

$\frac{g}{2}geq - 1$

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

Multiply both sides of the inequality $\frac{q}{2}\geq - 1$ by 2. We get $q\geq - 2$ because when we multiply both sides of an inequality by a positive number, the direction of the inequality sign remains the same.

Answer:

The solution of the inequality is $q\geq - 2$. On the number - line, we plot a closed circle at $-2$ (since the inequality is $\geq$) and draw a ray to the right of $-2$.