Question

The solution to an inequality is represented by the number line

<----|----|----|----|----|----|----|----|----|----|----|---->
-5 -4 -3 -2 -1 0 1 2 3 4 5

how can this same solution be written using set-builder notation?

Answer 1

The solution to an inequality represented on a number line can be expressed in set-builder notation using a variable and an inequality that states the condition for the numbers to be part of the set.

Step-by-step explanation:

The solution to an inequality that is represented on the number line can be translated into set-builder notation, which describes the set of numbers that satisfy the inequality.

To write this in set-builder notation, we use a variable, usually x, and an inequality that defines the condition x must meet to be part of the set. For example, assuming the number line indicates all numbers greater than -2 and less than or equal to 3, we would write it in set-builder notation as -2 < x <= 3.