Question

A number is negative if and only if it is less than 0.
p. A number is negative.
q. A number is less than 0.
Which represents the inverse of this statement? Is the inverse true or false?
~p4~9
The inverse of the statement is sometimes true and sometimes false.
Oq+p
The inverse of the statement is true.
q→P
~q→ ~p
The inverse of the statement is false.

Answer 1

The inverse statement is:

¬q ⇒ ¬p

Which is true.

How to get the inverse statement?

Here we have the biconditional statement:

A number is negative if and only if it is less than zero.

Where:

• p = a number is negative.
• q = a number is less than 0.

So we can write the statement as:

p ⇔ q

The inverse statement is:

if not q, then not p.

or

¬q ⇒ ¬p

Replacing p and q, we have:

"if a number is not less than zero, then the number is not negative".

This is true, if the number is not less than zero, then the number is 0 or larger, so that number is not negative.

If you want to learn more about conditonal statements:

https://brainly.com/question/11073037

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