WEBVTT
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Solve the inequality nine π¦ is greater than 77 plus two π¦.
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When our instructions tell us to solve the following inequality, what theyβre asking us to do is find the values for π¦ that make the statement true.
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To do that, weβll need to isolate π¦.
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Right now, we have a π¦ on both sides of our inequality.
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Before we can isolate π¦, weβll need to get both of these variables onto the same side of the equation.
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We can do that by subtracting two π¦ from both sides of our inequality.
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Nine π¦ minus two π¦ equals seven π¦.
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Bring down our inequality symbol.
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Bring down the 77.
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Two π¦ minus two π¦ equals zero.
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So thereβs nothing to bring down there.
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In this line, seven is being multiplied by π¦.
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But we want π¦ by itself.
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So we can divide seven π¦ by seven and also 77 by seven.
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Seven π¦ divided by seven equals π¦.
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Bring down our inequality symbol.
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77 divided by seven equals 11.
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This is our solution to the inequality.
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Nine is greater than eleven.
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Any time we plug in something larger than eleven for π¦ in this inequality, this statement will be true.
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π¦ is greater than eleven.