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Mathematics 19 Online
Gucchi:

Which is a counterexample of the following conditional statement: "If a number is divisible by 4, then it is divisible by 8." 8 20 24 27

Hero:

Did you select a choice?

Gucchi:

am i right with C?

Hero:

What is your reasoning for choosing C? The question says to find a *counterexample* to the given statement.

Hero:

In other words, which of the options would serve to make the given statement false?

Gucchi:

wait actually D

Gucchi:

cz that wouldnt make sense

Hero:

The given statement is an if, then statement.

Hero:

Which means the entire statement can be broken into two parts: 1. the IF part 2. the THEN part

Hero:

So in other words, here's what you have to do: 1. IF a number is divisible by 4 .... (find a number amongst the choices divisible by 4) 2. THEN it is divisible by 8 ... (the number you chose should not be divisible by 8) In other words, find a number divisible by four, but not divisible by eight.

Hero:

A number divisible by four, but NOT divisible by eight is the counterexample to the given statement.

Gucchi:

ohhh 20

Gucchi:

wow i understand it much better now

Hero:

Exactly

Gucchi:

thanks man

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