How many cases do you have after you remove the absolute value?
y=15/2 or y=-9/2
Practice makes perfect
An absolute value measures an expression's distance from a midpoint on a number line.
|2y-3|= 12
This equation means that the distance is 12, either in the positive direction or the negative direction.
|2y-3|= 12 ⇒ l2y-3= 12 2y-3= -12
To find the solutions to the absolute value equation, we need to solve both of these cases for y.
Both 152 and - 92 are solutions to the absolute value equation.
Checking Our Answers
When solving an absolute value equation, it is important to check for extraneous solutions.We can check our answers by substituting them back into the original equation. Let's start with 152.
