PART A:
Given -mk - 120 > 95.
Since we are solving for m, we take the other terms to the right hand side using arithmetic operations leaving only m in the left hand side.
To solve the ineaquality for m:
First, we collect like terms, i.e. we take -120 over to the right hand side to get
-mk > 95 + 120
-mk > 215
Next, we divide both sides by -k to get:
[tex]m>\frac{215}{-k}[/tex]
[tex]m>-\frac{215}{k}[/tex]
PART B:
Given 2c - 9f = 45.
Since we are solving for f, we take the other terms to the right hand side using arithmetic operations leaving only f in the left hand side.
To solve the equation for f:
First, we take 2c over to the right hand side to get
-9f = 45 - 2c
Next, we divide both sides by -9 to get:
[tex]f=\frac{45-2c}{-9}[/tex]
The equation above can also be written in the following forms:
[tex]f=-\frac{45-2c}{9}[/tex]
or
[tex]f=\frac{2c-45}{9}[/tex]
or
[tex]f=\frac{2c}{9}-5[/tex]
or
[tex]f=-5+\frac{2c}{9}[/tex]