WEBVTT
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So in this problem, we're being asked to solve
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the giving them the quality. And then we're going
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to graft the solution set on a number line.
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Well, our inequality says X is getting divided by
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eight. And it is greater than negative, too
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. So again, we're going to solve, just
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like we within equation. So how do we undo
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dividing by eight? Well, that would be to
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multiply by eight. So we're gonna multiply both sides
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of our inequality by positive, because the eights on
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the left hand side will cancel out. So we're
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left with exes. Well, now we're multiplying both
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sides of our inequality, but because we're multiplying both
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sides by a positive eight are inequality sign will not
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change. So it's still going to stay greater than
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now. We just multiply like normal. Negative.
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Two times eight is negative. 16. So remember
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on Lee, if you multiply both sides by a
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negative value, would you switch it? Okay.
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Perfect. Now we've solved our inequality. Now,
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the next thing the directions ask us to do is
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graft the solution set on a number line. So
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we'll set up our number line are critical number negative
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16 will go in the middle, then we'll determine
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if we need to open a coast circle. Well
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, because negative 16 is not a solution. We're
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gonna have an open circle. Then we'll determine if
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we shade to the left or to the right.
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Well, because X has to be greater than negative
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16, the values of X will be to the
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right of negative 16 on the number line. So
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we're just going to shade in the right hand side
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of our number line. So now we have solved
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and graft the solution set to our original inequality.