Question

What is the inverse of the statement “If two lines are parallel, then they never intersect”?

Answer 1

Inverse=opposite of statement

Answer 2

The statement after "then" is after "if" and the statement after "if" comes after "then"

Answer 3

let p: "2lines are parallel"
q: "they are intersect"
therefore f: p--> ~q
f^-1 = (p-->~q)' = ~(~q)-->~p= q-->~p
so, "they are intersect, then they are not parallel. " is the inverse ,

Answer 4

Thanks guys!

Answer 5

If two lines are parallel, then they never intersect”

p: two lines are parallel
q: they never intersect

The inverse of p--> q is the following: ~p --> ~q

So, the inverse of the given statement p -->q is:

If two lines are NOT parallel, then they do NOT "never" intersect which is:

If two lines are not parallel, then they intersect. --> Inverse

Answer 6

@Loser66

"they are intersect, then they are not parallel is the contrapositive of p --> q

Answer 7

got you @Directrix