click to play button
click to replay button
4-1-63
X
    00:00 / 00:00
    CC
    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.