Answer :
Absolute value means that it doesn't matter if the number in the bars is positive or negative, it still comes out to be a positive number. Since the absolute value of anything greater than -4 added with 9 is greater than 4, one answer is y>-4. Absolute value inequalities and equation often have two answers though, a positive and a negative. And since the absolute value of anything less than -14 plus 9 is greater than 4, the second answer is y<14.
This is a weird one. I'm going to work it, but I also want you to look back at the
book or the worksheet and make sure that you copied it correctly.
Because it's weird, I tell you.
| y + 9 | > 4
Subtract 9 from each side of the inequality:
| y | > -5
OK. Now, here we go:
'Absolute value' means just the size of the number, no matter whether it's
negative or positive. So the absolute value of every number is positive.
Got that ? The absolute value of every number is positive.
So EVERY number is a solution to this inequality. It doesn't matter what number
' y ' is, its absolute value is always positive. And if the absolute value is always
positive, then it's definitely always greater than -5 .
Weird ? I told you so.
book or the worksheet and make sure that you copied it correctly.
Because it's weird, I tell you.
| y + 9 | > 4
Subtract 9 from each side of the inequality:
| y | > -5
OK. Now, here we go:
'Absolute value' means just the size of the number, no matter whether it's
negative or positive. So the absolute value of every number is positive.
Got that ? The absolute value of every number is positive.
So EVERY number is a solution to this inequality. It doesn't matter what number
' y ' is, its absolute value is always positive. And if the absolute value is always
positive, then it's definitely always greater than -5 .
Weird ? I told you so.
