4-1-63
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When doing this problem, we need to get rid of the innermost
parentheses first.
So we're going to distribute by -4 and get -12 + 4 X.
On the other side, we're going to get rid of the innermost
parentheses 1st and get 10 X -5.
Now within the brackets, we're going to combine our like terms.
So we get -5 + 4 X and then the other bracket we're going to get
10X plus one.
Then we're going to distribute the two -10 plus 8X, going to
distribute the two again on the other side, 20X plus two.
Now combining our like terms -10 + 8 X -1 would give us eight X
-, 11.
On the other side, we combine our like terms and we get 20 X
-19 getting all the XS on the left side.
So I'm going to subtract the 20X and get -12 X.
I'm going to add the -11 or add 11 to each side.
So I get -8 going to divide by -12 when I divide by -12.
We have to remember we flip the inequality sign whenever we
divide or multiply by a negative.
So X less than or equal to -8 negative 8 / -12 that reduces to
X less than or equal to 2/3.
So it's the set of all XS such that X less than or equal to
2/3.