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solve the inequality and graph the 57 - 16n ≥ 25. plot the endpoints. s…

Question

solve the inequality and graph the 57 - 16n ≥ 25. plot the endpoints. select an endpoint middle of the segment, ray, or line to de

Explanation:

Step1: Subtract 57 from both sides

$57 - 16n-57\geq25 - 57$
$-16n\geq - 32$

Step2: Divide both sides by -16 and reverse the inequality sign

Since dividing by a negative number reverses the inequality, $\frac{-16n}{-16}\leq\frac{-32}{-16}$
$n\leq2$

To graph: The endpoint is $n = 2$. We use a closed - circle at $n = 2$ (because the inequality is $\leq$) and draw a ray to the left of 2 on the number - line.

Answer:

$n\leq2$; On the number - line, place a closed - circle at 2 and draw a ray to the left.