p: -3x + 8x - 5x = x

q: (3x)(5y) = 15xy

Which of the following statements is false?

a) p → q
b) p ∨ q
c) q → p



Answer :

The correct answers would be options (A) and (C).

What is the equation?

The equation is defined as mathematical statements that have a minimum of two terms containing variables or numbers that are equal.

We have been given two cases,

p: -3x + 8x - 5x = x

q: (3x)(5y) = 15xy

We have to need to isolate the variables:

p: -3x + 8x - 5x = x

⇒  (-3x - 5x) + 8x = x

⇒  -8x + 8x = x

⇒ x = 0

This is not always true, hence the statement is incorrect because this will hold true for only one value of x.

q: (3x)(5y) = 15xy

⇒ (3x)(5y) = 15xy

⇒ (3×5)(x×y) = 15xy

⇒ 15xy = 15xy

If both x and y are true for any value, then the statement is true.

Hence, p → q and q → p are false.

Therefore, the correct answers would be options (A) and (C).

Learn more about the equation here:

brainly.com/question/10413253

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