Hello there!
Part A.) Solve -mk - 120 > 95 for m.
First, we need to understand that our primary goal is to isolate m on one side of the inequality.
-mk - 120 > 95
Currently, we have m being multiplied by -k and added to -120.
First, let's cancel out -120 by adding 120 to both sides.
-120 + 120 = 0
95 + 120 = 215
We now have:
-mk > 215
Divide both sides by -k. This is because m is being multiplied by -k. In order to cancel it out, you must perform the opposite order of operations.
-mk / -k = m
Remember, when you divide or multiply a number in an inequality, you must flip the sign to its opposite.
We now are left with:
m [tex] \leq [/tex] [tex] \frac{215}{-k} [/tex]
This is your solution for part A.
Part B.) Solve 2c - 9f = 45 for f.
Remember that our primary goal is to isolate f on one side of the equation.
2c - 9f = 45
Since -9f is being added to 2c, perform the opposite order or operations on 2c.
+ 2c - 2c = 0
We now have:
-9f = -2c + 45
To solve for f, divide both sides by -9.
f = [tex] \frac{-2c + 45}{-9} [/tex] or [tex] \frac{2c}{9} [/tex] - 5
This is your solution for part B.)
I hope this helps!
