Question

Determine if a true bioconditional can be written from each conditional statement. If not, gove a counterexample.

1. If a = b then |a| = |b|
Is this true?

2. If y^2= 64 then 3y=24

Is this false? Because if you do -8 both of them aren't equal

Answer 1

#1 of course not: |-6|=|6| but -6≠6
#2 same reasoning. y could be -8.

You can say, therefore that if |a|=|b|, then a^2 = b^2.

Answer 2

1. Is true