Question

solve the inequality and graph the solution. 2(y + 9) ≥ 10 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: Distribute the 2

$2(y + 9)=2y+18$, so the inequality becomes $2y + 18\geq10$.

Step2: Subtract 18 from both sides

$2y+18 - 18\geq10 - 18$, which simplifies to $2y\geq - 8$.

Step3: Divide both sides by 2

$\frac{2y}{2}\geq\frac{-8}{2}$, resulting in $y\geq - 4$.

Answer:

The solution of the inequality is $y\geq - 4$. On the number - line, plot a closed circle at $y = - 4$ (because the inequality is $\geq$) and draw a ray to the right of $-4$.