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

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