Question

An inequality is shown below:

−np − 4 ≤ 2(c − 3)

Which of the following solves for n?

n ≤ − the quantity 2 times c minus 2 all over p
n ≤ − the quantity 2 times c minus 10 all over p
n ≥ − the quantity 2 times c minus 2 all over p
n ≥ − the quantity 2 times c minus 10 all over p

Answer 1

`n\geq-` the quantity
`2` times c minus
`2` all over p

Explanation:

we have

`-np-4\leq 2(c-3)`

Adds
`4` both sides

`-np-4+4\leq 2(c-3)+4`

`-np\leq 2c-6+4`

`-np\leq 2c-2`

Divide by
`p` both sides

`-np/p\leq (2c-2)/p`

`-n\leq (2c-2)/p` -------> Multiply by
`-1`

`n\geq -((2c-2))/(p)`