An inequality is shown below:

−np − 3 ≥ 7(c − 4)

Which of the following solves for n?

n ≤ − the quantity 7 times c minus 31 all over p
n ≤ − the quantity 7 times c minus 25 all over p
n ≥ − the quantity 7 times c minus 31 all over p
n ≥ − the quantity 7 times c minus 25 all over p

Respuesta :

It should be the second answer.

Reason:
-np-3≥7(c-4)
-np≥7c-28+3
-np≥7c-25
-n≥(7c-25)/p
N≤-(7c-25)/p

Answer: n ≤ − the quantity 7 times c minus 25 all over p


Step-by-step explanation:

Given inequality: [tex]-np-3\geq7(c-4)[/tex]

First open parentheses, and solve the right side of the inequality.

[tex]-np-3\geq7c-28[/tex]

Add 3 on both sides, we get

[tex]-np\geq7c-25[/tex]

Divide -p on both sides (sign will reverse), we get

[tex]n\leq-\frac{7c-25}{p}[/tex]

Thus the answer is n ≤ − the quantity 7 times c minus 25 all over p.

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