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3 years ago

Given B = {a, l, g, e, b, r} and C = {m, y, t, h}, find B ∪ C. {} {a} {a, b, e, g, h, l, m, r, t, y}

Mathematics

2 answers:

Digiron [165]3 years ago

4 0

Answer:

B ∪ C={a, b, e, g, h, l, m, r, t, y}

Step-by-step explanation:

Given B = {a, l, g, e, b, r} and C = {m, y, t, h}

B ∪ C means B union C

To find the union of B and C we combine all the data in both sets

When the data is repeating then we put it only once

Put all the characters inside B and C in single group to get the union of B and C

B ∪ C={a, l, g, e, b, r,m, y, t, h}

B ∪ C={a, b, e, g, h, l, m, r, t, y}

sertanlavr [38]3 years ago

3 0

1. A ∪ B = { x | x ∈ A or x ∈ B} ==> Ans C.
<span>2. B ∪ C = { x | x ∈ B or x ∈ C} ==> Ans C</span>

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The answer to that question is the sum of the hours he studied for on both days, which will be 1/4 + 3/8.

However, we cannot add fractions with different denominators. In this case, it's 4 and 8.

So if we want to add them, we must make the denominators similar to each other. How to make 4 into 8? We multiply it by 2: 4 x 2 = 8.

BUT when we multiply fractions, we must multiply both the numerator and the denominator by the same number to keep its original value. In this case, if you want to multiply 4 by 2, you must also multiply 1 by 2.

=> SO to make 1/4 into y/8, we will multiply it like this (1 x 2) / (4 x 2) = 2/8

Now we can add the 2 fractions together. 2/8 + 3/8 = (2 + 3)/8 = 5/8. THIS IS YOUR ANSWER.

TL;DR: He studied 5/8 (or 0.625) hour altogether on both days.

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