Question

Given:

p: 20-5=5
q:40-6=14
P 9
Write the contrapositive in if-then form.
If 2 -5=5, then 4x -6=14.
If 4x--6=14, then 2x-5=5.
If 2x -- 5≠5, then 4x--6≠14.
If 4x - 6≠14, then 2x - 5≠5.

Answer 1

We conclude that:

• If 4x - 6≠4, then 2x–5≠5 is the contrapositive of a conditional statement if 2x -5=5, then 4x-6=14.

Explanation:

• We know that the contrapositive of a conditional statement of the form "If p then q" is termed as "If ~q then ~p".

In other words, it is symbolically represented as:

• ' ~q ~p is the contrapositive of p q '

For example, the contrapositive of "If there is a snow outside, then they cancel the event" is "If they do not cancel the event, then it would not be snow outside."

Given

• p: 2x -5=5

• q: 4x-6=14

As the contrapositive of a conditional statement of the form "If p then q" is termed as "If ~q then ~p

Therefore, we conclude that:

• If 4x - 6≠4, then 2x–5≠5 is the contrapositive of a conditional statement if 2x -5=5, then 4x-6=14.