SOLUTION: What steps do I take to solve -2|x+4|+10(less than or equal to) 16?

Question 651926: What steps do I take to solve -2|x+4|+10(less than or equal to) 16?
Answer by lwsshak3(11628) (Show Source): You can put this solution on YOUR website!
What steps do I take to solve -2|x+4|+10(less than or equal to) 16?
**
-2|x+4|+10≤ 16
solve for 2 conditions: (x+4)>0 and (x+4)<0
-2(x+4)+10≤ 16
-2x-8+10≤ 16
-2x≤14
divide by -2 and reverse inequality sign
x≥-7 (reject, does not check)
..
2(x+4)+10≤ 16
2x+8+10≤ 16
2x≤-2
x≤-1
number line
<==-1].......>
solution: (-∞,-1]

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