Question

Write an equation representing all numbers that are 3 units from 7

Answer 1

Solution : |x+3| =7
or x= -10 or x=4

Explanation:
•You are basically looking for 2 values of X
•First X will be to the left of -3
•Second X will be to the right of -3
•Both X’s will be 7 units away from -3, if you do this correctly you will find that x to the left is equal to -10 and x to the right is equal to 4

You can develop the absolute value equation as follows:
X=-3 -7
Or
X=-3+7

Add 3 to both sides of the equation to get :
X+3=7
X+3=-7

This fits the basic definition of an absolute value equation that states if |x|=y , then x=y or x=-y