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solve the inequality and graph the solution. \\(\\frac{w - 13}{5}\\geq …

Question

solve the inequality and graph the solution.
\\(\frac{w - 13}{5}\geq - 3\\)
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 5

$5\times\frac{w - 13}{5}\geq5\times(-3)$
$w - 13\geq - 15$

Step2: Add 13 to both sides

$w-13 + 13\geq-15 + 13$
$w\geq - 2$

Answer:

The solution of the inequality is $w\geq - 2$. On the number - line, plot a closed circle at $-2$ (since the inequality is $\geq$) and draw a ray to the right.