Question

help with logic...
2+3≠5 if and only if 10-1=3^2.
True or false?/why?

Answer 1

break it into two statements,
then test the truth value of each statement

Answer 2

if you get same truth value for both statements, then the truth value of if and only if is True, otherwise False.

Answer 3

`2+3≠5 if and only if 10-1=3^2`

2+3≠5 True/False ?
10-1=3^2 True/False ?

Answer 4

so first statement is false, and second is true, and the rule of 'if and only if' means that the entire statement is False?

Answer 5

You got it !

Answer 6

for `if and only if` to be true, both statements must have the SAME truth value.

Answer 7

Oh I get it now thank you so much!!

Answer 8

np :)