Question

1. how is the solution x is less than 2 represented on a number line?

a. open circle at 2, shaded to the left
b. open circle at 2, shaded to the right
c. closed circle at 2, shaded to the right
d. closed circle at 2, shaded to the left

Explanation:

• An open circle is used when the inequality is \(<\) or \(>\) (not including the boundary value). Here, \(x < 2\) does not include \(x = 2\), so we use an open circle at \(2\).
• On a number line, values less than \(2\) are to the left of \(2\). So we shade to the left of \(2\).

Answer:

A. Open circle at 2, shaded to the left