Question

which expression is undefined? a. \\(\frac{4}{0}\\) b. \\(\frac{(-7 + 7)}{14}\\) c. \\(\frac{8}{(-6 + 6)}\\) d. \\(0 \div (-5)\\)

Explanation:

Step1: Identify undefined condition

Division by 0 is undefined.

Step2: Evaluate Option A

Expression: $\frac{4}{0}$
Denominator = 0, so undefined.

Step3: Evaluate Option B

Simplify denominator: $\frac{(-7+7)}{14} = \frac{0}{14}$
Denominator ≠ 0, expression = 0 (defined).

Step4: Evaluate Option C

Simplify denominator: $\frac{8}{(-6+6)} = \frac{8}{0}$
Denominator = 0, so undefined.

Step5: Evaluate Option D

Rewrite as fraction: $0 \div (-5) = \frac{0}{-5}$
Denominator ≠ 0, expression = 0 (defined).

Answer:

A. $\frac{4}{0}$, C. $\frac{8}{(-6+6)}$