Question

How do you solve the inequality `-15 <= c/-4 - 15`?

Answer 1

The solution set is: `S = {c in RR | c <=0}`

Explanation:

In this specific case, we first make the inequality easier, simplifying it:
`-15 <= c/-4 -15` multiply it by 4: `-60 <= c/-1 -60`
`c/-1 = -c`. So, we pass the `-60` to the other side of the inequality and solve it:

`-60 + 60 <= -c`
`0 <= -c`

In order to make the `c` to be positive, just multiply it by -1. But, when this is made, the inequality signal is reversed - If it is `<`, becomes `>`, etc. Now, in this case:

`0 <= -c` multiplied by `-1`:
`0 >= c`
`c <= 0`

So, the solution set is: `S = {c in RR | c <=0}`