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solve for w and graph the solution. $8 > \\frac{w - 3}{2} \\geq 5$ plot…

Question

solve for w and graph the solution.
$8 > \frac{w - 3}{2} \geq 5$
plot the endpoints. select an endpoint to change it from closed to open. select the middle of a segment, ray, or line to delete it.
11 12 13 14 15 16 17 18 19
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Explanation:

Step1: Multiply all parts by 2

$8 \times 2 > \frac{w-3}{2} \times 2 \geq 5 \times 2$
$16 > w - 3 \geq 10$

Step2: Add 3 to all parts

$16 + 3 > w - 3 + 3 \geq 10 + 3$
$19 > w \geq 13$

Answer:

The solution is $13 \leq w < 19$. For the graph: plot a closed circle at 13 and an open circle at 19, then draw a line segment connecting them.