Question

Solve the equation. If there is more than one solution, separate them with a comma.

Answer 1

Solve for X, If there IS more than one solution, If there no solution, separate them with commas click on No solution' Tolulio / 06 8 0D Exphintipu Chock

Answer 2

Our equation is

`7+|x+5|=4`

After some calculations:

`7+|x+5|=4\Rightarrow|x+5|=-3`

But we know that, for any number a

`|a|\ge0,`

So, this equation has no solution!

It's not possible that |x+5|<0 whatever the value of x

An alternative to the problem is:

`-7+|x+5|=4\Rightarrow|x+5|=3`

And this is a problem that can actually be solved:

There are two possible situations here:

`\begin{cases}x+5\ge0 \\ or \\ x+5<0\end{cases}`

If we choose the first option to be true, then:

`|x+5|=x+5\Rightarrow x+5=3\Rightarrow x=-2`

Or, if we choose the second option:

`|x+5|=-(x+5)\Rightarrow-(x+5)=3\Rightarrow x+5=-3\Rightarrow x=-8`