4-1-63
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When working this problem, we have to remember our order of
operations, so we always start with the innermost parentheses
first.
So I'm going to distribute that -6 times the 2 -, X and I'm
going to distribute the four times the four X -, 1.
So we get -12 + 6 X and 16 X -4.
Then we do the brackets.
So we're going to combine our like terms.
We're going to get -3 + 6 X and we're going to get 16X plus
three.
Now we distribute the number in front of the brackets -6 plus
12X and 48X plus nine.
Once again, we're going to combine our like terms.
So we have 12 X -8 greater than or equal to 48 X -16.
The next step is to subtract all of the X's to one side and get
everything else to the other, so we get -36 X greater than or
equal to -8.
We divide each side by -36, remembering to flip the
inequality sign.
So negative So X less than or equal to -8 / -36 negative 8 /
-36 negative divided by negative +836 reduces to two nights.
So it's the set of all X such that X is less than or equal to.