Question

part a solve -mk - 100 > 75 for m show your work part bsolve 2c - 8f = 24 for f show your work

Answer 1

part a

$-mk-100>75$

To solve an inequality for a variable we need to isolate it on the left side. The first step to do this is adding "100" on both sides.

$\begin{gathered} -mk-100+100>75+100 \\ -mk>175 \end{gathered}$

Now we need to divide both sides by "k", in order to isolate the "m".

$\begin{gathered} \frac{-mk}{k}>\frac{175}{k} \\ -m>\frac{175}{k} \end{gathered}$

Now we have to multiply both sides by "-1", by doing so we also need to change the inequality from ">" to "<".

$m<-\frac{175}{k}$

part b.

We need to solve the expression below for "f":

$2c-8f=24$

We need to isolate the "f" variable on the left side. The first step is to change the "2c" from the left to the right, we do that by subtracting "-2c" on both sides of the equation.

$\begin{gathered} 2c-8f-2c=24-2c \\ -8f=24-2c \\ \end{gathered}$

Then we need to divide by "-8" on both sides.

$\begin{gathered} \frac{-8f}{-8}=\frac{24}{-8}-\frac{2c}{-8} \\ f=-3+\frac{2c}{8} \end{gathered}$