Question

What is the other solution to the equation (Algebra ll) *URGENT*

Answer 1

Given:

The equation is:

`3-2|0.5x+1.5|=2`

One solution of this equation is -2.

To find:

The another solution of the given equation.

Solution:

We have,

`3-2|0.5x+1.5|=2`

It can be written as:

`-2|0.5x+1.5|=2-3`

`-2|0.5x+1.5|=-1`

Divide both sides by -2.

`|0.5x+1.5|=0.5`

After removing the modulus, we get

`0.5x+1.5=\pm 0.5`

Case I:

`0.5x+1.5=0.5`

`0.5x=0.5-1.5`

`0.5x=-1`

Divide both sides by 0.5.

`x=-2`

Case II:

`0.5x+1.5=-0.5`

`0.5x=-0.5-1.5`

`0.5x=-2`

Divide both sides by 0.5.

`x=-4`

One solution of the given equation is
`x=-2` and the another one is
`x=-4`.

Therefore, the correct option is B.