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A popular R&B band recently returned from a successful

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three-city tour where they played to at

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least 120,000 people.

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My brain immediately says that's greater than or equal

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to 120,000.

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If they had an audience of 45,000 in Mesa and another

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33,000 in Denver, how many people attended

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their show in Las Vegas?

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So let's say Las Vegas, I'll just use l for Las Vegas.

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So the number of people who attended their show in Las

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Vegas plus the number that attended their show in Mesa,

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which is 45,000, plus the number of people that attended

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their show in Denver, which is 33,000-- those are three

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cities right there, Las Vegas, Mesa, and Denver-- that has to

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be at least 120,000 people.

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Or another way of interpreting that is greater than or equal

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to 120,000.

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So to figure out how many people attended their show in

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Las Vegas, we just solve for l on this inequalty.

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So if we simplify this left-hand side, we get the

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number of people in Las Vegas plus-- what's 45,000 plus

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33,000, that is 78,000-- 78,000 is going to be greater

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than or equal to 120,000.

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Now to isolate the l on the left-hand side of the

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inequality, we can subtract 78,000 from both sides.

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So minus 78,000, minus 78,000 on the left-hand side, these

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cancel out.

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And we're just left with the number of people who attended

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the show in Las Vegas is going to be greater than or equal to

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120,000 minus 78,000.

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So 120,000 minus 80,000 is 40,000, and it's going to be

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another 2,000.

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So the number of people who attended Las Vegas is going to

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be greater than or equal to 42,000 people.

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And we're done, that's it

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