Sovi.AI - AI Math Tutor

Scan to solve math questions

QUESTION IMAGE

solve the inequality and graph the solution. $\frac{u}{-3}>2$ plot the …

Question

solve the inequality and graph the solution.

$\frac{u}{-3}>2$

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 -3

When multiplying an inequality by a negative number, the direction of the inequality sign changes. So we have $u<2\times(- 3)$.
$u < - 6$

Answer:

The solution of the inequality is $u < - 6$. On the number - line, we use an open - circle at $-6$ (since the inequality is strict, $u
eq - 6$) and draw a ray to the left of $-6$.