Question

Which statement is the following a counterexample for?


2 ∙ 11 = 22
If you multiply two numbers greater than 5, then their product is greater than 25.
If the product of two numbers is even, then both numbers must be even.
If x ∙ y = 1, then x or y must equal 1.
If two times a number is greater than 16, then the number must be greater than 9.

Answer 1

2 ∙ 11 = 22
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Hint: The above statement is this: Even * Odd = Even @heatherg75

Answer 2

Any ideas on this?

Answer 3

i want to say 2,2

Answer 4

sorry loking at the wrong problem on my paper @Directrix i want to say the last one

Answer 5

A counterexample makes the hypothesis true but contradicts the conclusion.

You are looking for a counterexample for:

2 ∙ 11 = 22

Look at choice D you are thinking is the counterexample.

If two times a number is greater than 16, then the number must be greater than 9

2 ∙ 11 = 22

Option D supports the given statement because it is an example of 2 * a number bigger than 9 having a product > 16.

D is not the counterexample Try again, okay.

Answer 6

Think in terms of the hint: Hint: The above statement is this: Even * Odd = Even

Answer 7

@Directrix the first one

Answer 8

no its the third one

Answer 9

Why did you change from the lst option to the third option?

Answer 10

They hypothesis of the given statement does not talk about this:

If x ∙ y = 1, then x or y must equal 1.

The given hypothesis is this; 2 ∙ 11 @heatherg75

Answer 11

I don't get this.