Question

thinking of expressions like $|x - a|$ as the number line distance between two numbers $x$ and $a$ can make solving certain kinds of equations and inequalities that come up a lot on the road to calculus easier. consider $|x - 7| = 4$. one way of looking at this is to think, the distance from some unknown number to seven is four or what numbers are 4 units away from 7? use the number line to determine which numbers are exactly 4 units from 7. (select all that apply.) 0 3 7 9 11 13

Explanation:

Step1: Analyze left - hand distance

To find the number 4 units to the left of 7, we subtract 4 from 7. So, $7 - 4=3$.

Step2: Analyze right - hand distance

To find the number 4 units to the right of 7, we add 4 to 7. So, $7 + 4 = 11$.

Answer:

B. 3, E. 11