Question

Classify the following conditional as true or false.

If $j>k$, then $k<j$.

Short answer

The statement is true.

Step-by-step solution

Step 1. Apply the concept of conditional statement.

Conditional statements are those statements where a hypothesis is followed by a conclusion. It is also known as an " If-then" statement.

Step 2. Step description.

Consider the statement “if $j>k$, then $k<j$.”

An inequality opens on the greater side.

Here $j>k$ implies that j is greater than k.

Step 3. Step description.

Since j is greater than k thus $k<j$ which implies that k is less than j.

Therefore, the statement is true.