SOLUTION: write the absolute value function without absolute value sign g(x)= 2[x+1] + 5[1+5] if x< -5

Question 353575: write the absolute value function without absolute value sign g(x)= 2[x+1] + 5[1+5] if x< -5

Answer by jsmallt9(3758) (Show Source): You can put this solution on YOUR website!
I'm going to assume that

In order to solve this problem, we need to understand the basics of absolute values.

When a number is positive or zero, its absolute value is the same as the number itself. For example, . Saying this "in Math":
if
When a number is negative, its absolute value is the negative of itself. For example, . Saying this "in Math":
if

Your function has two absolute values. And, if x < -5, both expressions inside the absolute values, (x+1) and (x+5), will be negative! And if the expression inside the absolute value is negative, its absolute value is the negative of itself. So and . This makes g(x):

Simplifying we get:

(Note: Remember that g(x) equals the above equation only if x < -5.
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