Question

The solution to an inequality is represented by the number line. A number line going from negative 5 to positive 5. An open circle appears at positive 3. The number line is shaded from positive 3 to positive 5. How can this same solution be written using set-builder notation?

A. x > 3
B. x > 3, x < 5
C. x < 3
D. x ≥ 3
E. x

Answer 1

The solution to the inequality can be written as x > 3 using set-builder notation.

Step-by-step explanation:

The solution to the inequality can be written using set-builder notation as x > 3.

Since there is an open circle at positive 3 on the number line, it means the solution excludes the number 3.

The shading on the number line from positive 3 to positive 5 indicates that the solution includes all numbers greater than 3 up to but not including 5.