WEBVTT
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So in this example, we're being asked to solve
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the given inequality. And then we're gonna graft a
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solution, said on a number line. So our
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inequality says negative two is less than or equal to
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X, divided by negative three. So remember,
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we solve inequalities just like we would equations. So
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because X is getting divided by negative three, we
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need to multiply both sides of our inequality by negative
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three, because then the negative threes will cancel out
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. Now, don't forget, because we're multiplying both
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sides of our inequality by a negative value, we're
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going to need to flip our inequality sign around.
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Therefore, the less than or equal to sign is
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going to become greater than or equal to. Now
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, on the left hand side of the inequality,
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we have negative three times negative two, which is
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positive. Six and on the right hand side of
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the inequality are negative. Threes canceled out. So
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we're just left with ax so perfect, we've now
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solved our inequality. Let's make that X a little
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better. There we go. All right, Now
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that we're salt, we want to graph the solution
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set on a number line. So we'll set up
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our number line are critical. Number of positive six
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will go in the middle. Yeah. Then we'll
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determine. Should we have open or close circle?
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Well, because six is greater than or equal to
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six, it is part of our solution set.
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So we're gonna have a close circle here in six
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. Now, the last thing we need to do
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is figure out should be shade to the left or
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to the right. Remember, with inequalities we wanna
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have are variable go first. So if we were
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the flip this around and have XP first in 60
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seconds, notice how the arrows pointing to the X
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so we would have to flip it around. So
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we really have X is less than or equal to
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six. So where the values of X that are
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less than or equal to six. That would be
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to the left on our number line. So we're
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going to shade to the left hand side of our
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number line. So now we have solved and graft
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the solution set to our original inequality