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solve the inequality and graph the solution. $\frac{u}{2}+1leq - 1$ plo…

Question

solve the inequality and graph the solution.
$\frac{u}{2}+1leq - 1$
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 term with variable

Subtract 1 from both sides of the inequality $\frac{v}{2}+1\leq - 1$.
$\frac{v}{2}+1 - 1\leq - 1-1$
$\frac{v}{2}\leq - 2$

Step2: Solve for v

Multiply both sides of the inequality by 2.
$2\times\frac{v}{2}\leq2\times(- 2)$
$v\leq - 4$

Answer:

The solution of the inequality is $v\leq - 4$. On the number - line, we plot a closed circle at $-4$ (since the inequality is $\leq$) and draw a ray to the left of $-4$.