Question

How do you solve `-5abs(4y-11)-3=12`?

Answer 1

No solution.

Explanation:

`-5|4y-11|-3=12` can be written as

`-5|4y-11|=12+3=15`

or `|4y-11|=15/-5=-3`

As absolute value of a number cannot be negative there is no solution.

Answer 2

The solution of `x` is `[7/4,2]`

Explanation:

This is an Inequatlity problem. The general forms is:
`abs(x-a)=b`
`-b<=(x-a)<=b`
`(a-b)<=x<=(a+b)`
Thus, `x` has a solution range `[`(a-b)`,`(a+b)`]`

The solution to this problem goes like:

`-5abs(4y-11)-3=12` ;or
`-5abs(4y-11)=15` ;or
`abs(4y-11)=-3` ;or
`-(-3)<=4y-11<=-3` ;or
`(11+3)<=4y<=(11-3)` ;or
`14<=4y<=8` ;or
`7/4<=y<=2`
Thus, the solution range of `x` is `[7/4,2]`