SOLUTION: How do you solve - 5| x + 1| = -10, whats the answer?

Question 146867: How do you solve - 5| x + 1| = -10, whats the answer?
Answer by jim_thompson5910(35256) (Show Source): You can put this solution on YOUR website!

Start with the given equation

Divide both sides by -5

Break up the absolute value (remember, if you have , then or )

or Set the expression equal to the original value 2 and it's opposite -2

Now lets focus on the first equation

Subtract 1 from both sides

Combine like terms on the right side

Now lets focus on the second equation

Subtract 1 from both sides

Combine like terms on the right side

So the solutions to are:

and

Notice if we graph and (just set each side equal to y and graph), we get

Graph of (red) and (green)

and we can see the two graphs intersect at and . So this verifies our answer.

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