Question

Which set of numbers includes only integers?

A) {14, -7, 0, 243, -3}
B) {14, -58, 0, -248}
C) {14.2, 3, 654, 0.9}
D) {14, 0, 0, 0, 243}

Answer 1

Option A) {14, -7, 0, 243, -3} consists of only integers, which are whole numbers that can be either positive, negative, or zero. Option B) and D) also have only integers. Option C) is not valid because it includes non-whole numbers such as 14.2 and 0.9.

Step-by-step explanation:

When we are asked which set of numbers includes only integers, we're looking for a set that contains whole numbers without any fractions or decimals. An integer can be positive, negative, or zero. The parentheses {} denote the set in this case. Option A) {14, -7, 0, 243, -3} includes only whole numbers that can be positive or negative, as well as zero. Therefore, all the elements in this set are integers. Compared with the other options, Option B) also contains only integers, but Option C) has numbers like 14.2 and 0.9, which are not integers because they are not whole numbers. Option D) also contains only integers and is a valid choice. Considering this, both Options A) and B) and D) include sets with only integers. If the original question has a typo and the intent was to identify a single correct choice, Option A) would be valid unless the context implies otherwise.