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kiruha [24]
3 years ago
7

Insert parentheses to make each statement true20-25

Mathematics
1 answer:
Rashid [163]3 years ago
7 0
20: 30-4 x (2+5)=2
21. 17-(8-5)= 14
22. You put (10/2)-3+1, but it isn't necessary

Explanation: to solve these equations, use PEMDAS (parentheses, exponents, multiplication, division.) these equations don't involve exponents, though, so ignore that part. If 30 is left alone, you would multiply 4x2 before doing anything else. This would mean you would have 30-8+5' which gets you to 27, an incorrect answer. However, if you put parentheses around (2+5), you add those first, meaning you would then have 30-4(2+5) = 30-4(7) = 30-28= 2.
Try to do the rest; if you're still having trouble add a comment
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Determine whether the statements in (a) and (b) are logically equivalent.
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The two statements are logically equivalent.

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Let X be the statement that Bob is a double math and computer science major.

Y be the statement that Ann is a maths major.

Z be the statement that Ann is a double maths and computer science major.

The two statements written in terms of X, Y and Z now

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b. It is not the case that both Bob and Ann are double math and computer science majors, but it is the case that Ann is a math major and Bob is a double math and computer science major.

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Negation is represented by ~

And is represented by conjunction sign Λ

Or is represented by disjunction sign V

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not (x and z) and (x and y)

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~(x Λ z) Λ (x Λ y)

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Then applying the distributive law to the expression, we can open the bracket up

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Opening the first bracket up further

((~x) Λ (x Λ y)) V ((~z) Λ (x Λ y))

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= ((~z) Λ (x Λ y))

= (x Λ y) Λ (~z)

Which is the same as the first statement!

PROVED!!!

Hope this Helps!!!

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