Video: Finding the Difference of a Two Given Sets

Given that 𝑋 = {𝑑, β„Ž, 𝑛} and π‘Œ = {β„Ž, 𝑒, 𝑙, 𝑑}, find 𝑋 βˆ’ π‘Œ.

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Video Transcript

Given that 𝑋 is equal to this set, with elements 𝑑, β„Ž, and 𝑛 and π‘Œ is a set with elements β„Ž, 𝑒, 𝑙, and 𝑑, find 𝑋 minus π‘Œ.

So we want to take the elements of 𝑋 and subtract the elements of π‘Œ. So we want to subtract the yellow ones from the blue ones. So first, we can subtract an β„Ž. So we subtracted an β„Ž from the set 𝑋. Now, the set π‘Œ has an 𝑒. However, the set 𝑋 doesn’t have an 𝑒. So we can’t really subtract it. And then we have an 𝑙 which we also can’t subtract. However, there is a 𝑑.

So if we take away that 𝑑, what do we have left with 𝑋? Because we’re taking this set 𝑋 and then taking away the elements from π‘Œ. So once we take away those elements from π‘Œ, what is left in 𝑋 is simply element 𝑛. So this will be our final answer.

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