Sovi.AI - AI Math Tutor

Scan to solve math questions

QUESTION IMAGE

solve the inequality and graph the solution. 10 ≤ (u + 16)/2 plot the e…

Question

solve the inequality and graph the solution.
10 ≤ (u + 16)/2
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: Multiply both sides by 2

$10\times2\leq\frac{u + 16}{2}\times2$
$20\leq u + 16$

Step2: Subtract 16 from both sides

$20-16\leq u+16 - 16$
$4\leq u$ or $u\geq4$

Answer:

The solution of the inequality is $u\geq4$. On the number - line, plot a closed circle at $u = 4$ and draw a ray to the right.