Question

How do you solve `|2c - 1| \leq 7`?

Answer 1

`-3<=c<=4`

Explanation:

As `|2c-1|<=7`

We have either `2c-1<=7` i.e `2c<=7+1`

i.e. `2c<=8` i.e. `c<=4`

or `-(2c-1)<=7` i.e `-2c+1<=7+1` i.e. `1-7<=2c`

i.e. `2c>=-6` i.e. `c>=-3`

Hence `-3<=c<=4`