Question

Each situation

all real numbers n that are at most -3 or at least 5

A) n ≤ -3 or n ≥ 5
B) n < -3 or n > 5
C) n ≤ -3 and n ≥ 5
D) n < -3 and n > 5

Answer 1

The correct representation of all real numbers that are at most -3 or at least 5 is n ≤ -3 or n ≥ 5, corresponding to answer choice A.

Step-by-step explanation:

The question asks for a representation of all real numbers n that are at most -3 or at least 5. There are generally two sets of numbers being described here: those that are less than or equal to -3 and those that are greater than or equal to 5.

The correct representation using inequalities would be n ≤ -3 or n ≥ 5. This is because the words "at most" imply "less than or equal to" and "at least" imply "greater than or equal to". Thus, the correct answer provided from the options is choice A) n ≤ -3 or n ≥ 5.