Question

determine whether the statement is true or false. 26∈{17,18,19,…,30} choose the correct answer below. a. false, because 26 is a natural number greater than or equal to 17 and less than or equal to 30. b. true, because 26 is a natural number greater than or equal to 17 and less than or equal to 30. c. false, because 26 is not a natural number greater than or equal to 17 and less than or equal to 30. d. true, because 26 is not a natural number greater than or equal to 17 and less than or equal to 30.

Explanation:

Step1: Analyze the set

The set $\{17,18,19,...,30\}$ includes all natural numbers from 17 to 30, inclusive.

Step2: Check if 26 is in the set

26 is a natural number where $17 \leq 26 \leq 30$, so $26$ is an element of the set.

Step3: Match with correct option

This means the statement is true, and the reasoning matches option B.

Answer:

B. True, because 26 is a natural number greater than or equal to 17 and less than or equal to 30.