Question

how is the solution \x is less than 2\ represented on a number line?
a. closed circle at 2, shaded to the right
b. open circle at 2, shaded to the left
c. open circle at 2, shaded to the right
d. closed circle at 2, shaded to the left

Explanation:

Step1: Understand inequality symbol

The inequality \(x < 2\) means \(x\) is not equal to 2. An open circle is used when the value is not included (for \(<\) or \(>\)).

Step2: Determine shading direction

Since \(x\) is less than 2, we shade to the left on the number - line (as numbers decrease to the left).

Answer:

B. Open circle at 2, shaded to the left