Sovi.AI - AI Math Tutor

Scan to solve math questions

QUESTION IMAGE

solve the inequality and graph the solution. 2y ≥ 4 plot the endpoints.…

Question

solve the inequality and graph the solution. 2y ≥ 4 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 y

Divide both sides of the inequality $2y\geq4$ by 2. We get $y\geq\frac{4}{2}$.

Step2: Simplify the right - hand side

$\frac{4}{2} = 2$, so the solution of the inequality is $y\geq2$.

Step3: Graph the solution

On the number - line, we plot a closed circle at 2 (because the inequality is $\geq$, which includes 2) and draw a ray to the right of 2.

Answer:

The solution of the inequality is $y\geq2$. On the number - line, we have a closed circle at 2 and a ray extending to the right.