Question

1. what does the solution to $x + 4 > 6$ look like on a number line?

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

Explanation:

Step1: Solve the inequality

$$\begin{align*} x + 4&>6\\ x+4 - 4&>6 - 4\\ x&>2 \end{align*}$$

Step2: Analyze the number - line representation

When \(x>2\), since \(x = 2\) is not included in the solution set, we use an open - circle at \(x = 2\). And because \(x\) is greater than \(2\), we shade to the right of \(2\) on the number line.

Answer:

A. Open circle at 2, shading to the right