Question

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

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

Explanation:

Step1: Isolate the variable $x$

$x + 4 > 6 \implies x > 6 - 4$

Step2: Calculate the solution

$x > 2$

Step3: Interpret for number line

For $x > 2$, use an open circle at 2 (since 2 is not included) and shade all values greater than 2, which is to the right.

Answer:

d. Open circle at 2, shading to the right