Question 167368: 5[r+3]>5
Answer by midwood_trail(310)   (Show Source):
You can put this solution on YOUR website! 5|r+3|> 5
Solving an absolute value inequality problem is similar to solving an absolute value equation.
Start by isolating the absolute value on one side of the inequality symbol, then follow the rules below:
Because the symbol is greater than (>), we use the word OR.
In this sample, the number on the right side of the symbol > is bigger than 0.
First thing to do is ISOLATE the absolute value symbol.
We do this by dividing both sides by 5.
So, 5/5 = 1
We now have this question:
|r + 3| = 1
We now set up two cases:
r > 1 or r < -1
Remove the value from inside the absolute value solving each case individually.
CASE ONE:
r + 3 > 1
r > -3 + 1
r > -2
=========
CASE TWO:
r + 3 < -1
r < -3 - 1
r < -4
Final answer:
r > -2 or r < - 4
|
|
|
