Question

which is the set of numbers greater than 11? {x | x ≥ 11} {x | x > 11} {x | x = 11} {x | x ≤ 11}

Explanation:

Step1: Analyze each set - builder notation

• $\{x\mid x\geq11\}$ represents numbers greater than or equal to 11.
• $\{x\mid x > 11\}$ represents numbers strictly greater than 11.
• $\{x\mid x = 11\}$ represents only the number 11.
• $\{x\mid x\leq11\}$ represents numbers less than or equal to 11.

Step2: Select the correct set

We want numbers greater than 11, so the set $\{x\mid x > 11\}$ is correct.

Answer:

B. $\{x\mid x > 11\}$