Question

solve the inequality and graph the solution.
\frac{w}{-2}-1leq1
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 fraction

Add 1 to both sides of the inequality $\frac{w}{-2}-1\leq1$.
$\frac{w}{-2}-1 + 1\leq1 + 1$
$\frac{w}{-2}\leq2$

Step2: Solve for w

Multiply both sides by - 2. When multiplying or dividing an inequality by a negative number, the direction of the inequality sign changes.
$\frac{w}{-2}\times(-2)\geq2\times(-2)$
$w\geq - 4$

Answer:

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