Question

assume the first two statements are true. is the final statement: 1) true, 2) false, or 3) uncertain based on the information provided?

linda is older than kevin.
oscar is younger than kevin.
linda is older than oscar.

• true
• false
• uncertain

Explanation:

Represent the first statement as an inequality

Let \(L\), \(K\), and \(O\) represent the ages of Linda, Kevin, and Oscar, respectively.

$$L > K$$

Represent the second statement as an inequality

Since Oscar is younger than Kevin:

$$O < K \implies K > O$$

Combine the inequalities to evaluate the final statement

Combining the two inequalities:

$$L > K > O \implies L > O$$

This matches the final statement "Linda is older than Oscar."

Answer:

• True (Correct answer)
• False
• Uncertain