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Solve and write interval notation for the solution set. show work

Solve and write interval notation for the solution set. Show work.
 
6-2x≤-2 or -1/5 x>2

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Kyle M. | Certified Educator with Masters, Tutoring 3rd Grade Through CollegeCertified Educator with Masters, Tutorin...
4.9 4.9 (164 lesson ratings) (164)
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This is done exactly as algebraic equations, but it is instead simply an inequality - x will be greater than, less than, etc., anything but equal.

6-2x<or=-2
1. -2x<or=-8 (subtract 6 from each side);
2. X<or=4

-1/5x>2
1. -5 * -1/5x>2*-5 (multiply both sides by -5);
2. X>-10

Interval notation starts with the lowest value & goes toward the highest value, with x in the middle:

-10<x<or=4

Notice that we had to turn x>-10 backward, in order to show that there are values of x in between -10 & 4 that are the solution set. As my iPhone doesn't seem to offer me a "greater than or equal to" sign, I have made a variation here that I believe is comprehensible. You will use the standard sign.