SOLUTION: How do you solve an inequality? The question i need help with is 4< -8 -x <7

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Question 210753: How do you solve an inequality?
The question i need help with is 4< -8 -x <7

Answer by tutor_paul(519) About Me  (Show Source):
You can put this solution on YOUR website!
4%3C-8-x%3C7
Break it up into two inequalities, solve for x, then combine them back at the end.
Inequality #1:
4%3C-8-x
Add +8 to each side of inequality:
12%3C-x
Multiply each side by -1 *NOTE* you need to flip the inequality when you multiply each side by a negative number:
x%3C-12
Inequality #2:
-8-x%3C7
Add +8 to each side of inequality:
-x%3C15
Multiply by -1:
x%3E-15
Now, just combine these 2 inequalities into 1:
highlight%28-15%3Cx%3C-12%29
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Good Luck,
tutor_paul@yahoo.com