Question

Which set represents all numbers greater than or equal to -10 and less than 9?

a) {-10, -9, -8, ..., 8}
b) {-10, -9, -8, ..., 9}
c) {-10, -9, -8, ..., 7}
d) {-9, -8, -7, ..., 8}

Answer 1

The correct answer is a) {-10, -9, -8, ..., 8}, representing all numbers greater than or equal to -10 and less than 9.

Step-by-step explanation:

The set that represents all numbers greater than or equal to -10 and less than 9 is option a) {-10, -9, -8, ..., 8}.

-10 is included in the set because it is greater than or equal to -10, and 9 is not included because it is not less than 9.

So, the correct answer is option a) {-10, -9, -8, ..., 8}.

The set that represents all numbers greater than or equal to -10 and less than 9 is {-10, -9, -8, ..., 8}. This is because the set includes -10 (as the question specifies 'greater than or equal to -10') and ends with 8, which is the last whole number less than 9.

So the correct answer is: a) {-10, -9, -8, ..., 8}.

To visualize this, imagine a number line where -10 is included (indicated by a closed circle or bracket) and the numbers continue up to just before 9, which is not included (indicated by an open circle or parenthesis).