SOLUTION: 3|x+5|<=6

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Question 1130302: 3|x+5|<=6
Found 2 solutions by MathLover1, ikleyn:
Answer by MathLover1(20850)   (Show Source): You can put this solution on YOUR website!
...divide by


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Answer by ikleyn(52810)   (Show Source): You can put this solution on YOUR website!
.
3|x+5| <= 6


Divide both side by 3. You will get an equivalent inequality


|x + 5| <= 2,   or,  which is the same,   |x - (-5)| <= 2.



The solution is the set of those x's that are remoted not far than 2 units from -5;

in other words,  -5-2 <= x <= -5 + 2,   or   -7 <= x <= -3.



Answer.  The solution set is  -7 <= x <= -3,  or, in the interval notation, the segment  [-7,-3].

Solved, answered and explained.



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