(sorry its math not
savannah solve the equation 3 + 4|x/2 + 3| = 11 for one solution. her work is shown below:
1. 4|x/2 + 3| = 8
2. |x/2 + 3| = 2
3. x/2 + 3 = 2
4. x/2 = -1
5. x = -2
what is the other solution to the given absolute value equation?

Problem: .

Solution given:

The other solution:

Explanation:

Means the value inside the absolute value has to be 2 or -2 since |2|=2 and |-2|=2.

So you already have .

You need that .

Let's solve this equation:

Subtract 3 on both sides:

Simplify:

Multiply both sides by 2:

Simplify:

So x=-2 or x=-10.

Checking!

x=-2:

is true so x=-2 checks out.

x=-10:

is true x=-10 checks out.

It has been confirmed that -2 and -10 satisfy the equation:

.

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