Question

How do you solve `17- c \geq 15`?

Answer 1

Isolate c on one side of the inequality and the constants on the other side of the inequality.

`2>=c`

or `c<=2`

Explanation:

You can resolve this in much a similar manner as you would if it were an equation. isolate the unknown on one side and the known constants on the other. We do this here by first adding c to each side...

`" "17-c >=15`

`rarr 17 -c+c >= 15+c`

`rarr 17>=15+c`

Then we subtract 15 from both sides...

`rarr 17-15 >= 15-15+c`

`rarr 2 >=c`

`or c<=2`

Answer 2

`c<=2`

Explanation:

Another method is restructuring the question before solving for easier evaluation..

`17 - c >= 15` can be `17 >= 15 + c`

Depending on what you want to attain..

Now solving those two..

`17 - c >= 15`

Multiplying both sides by minus `(-)`

Note when multiplying an inequality sign with minus `(-)`, the sign changes in the opposite direction

`- (17 - c) <= - 15`

`-17 + c <= - 15`

Collect like terms

`c <= -15 + 17`

`c <= 2`

or

`17 >= 15 + c`

Subtracting both sides by `color(red)15`

`17 - color(red)15 >= c + 15 - color(red)15`

`17 - 15>= c + 0`

`2>= c` which is same thing as `c<=2`