SOLUTION: 3x+7 less than 31 -6(p+4) less than 12 -9x less than or equal -81 -2/3x greater than or equal 10 2x-3 less than 7

Algebra ->  Inequalities -> SOLUTION: 3x+7 less than 31 -6(p+4) less than 12 -9x less than or equal -81 -2/3x greater than or equal 10 2x-3 less than 7      Log On


   

Question 950795: 3x+7 less than 31
-6(p+4) less than 12
-9x less than or equal -81
-2/3x greater than or equal 10
2x-3 less than 7
Answer by EdenWolf(517) About Me  (Show Source):
You can put this solution on YOUR website!
1. 3x%2B7%3C31
First subtract 7 from both sides. We are trying to isolate x.
3x%3C24
Divide 3 from both sides.
x%3C8
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2. -6%28p%2B4%29%3C12
Simplify.
-6p-24%3C12
Add 24 to both sides.
-6p%3C36
Divide -6 from both sides. REMEMBER: When you are multiplying or dividing a negative number from both sides of an inequality, the inequality symbol reverses.
p%3E-6
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3. -9x%3C=-81
Divide -9 from both sides. Don't forget to reverse the inequality symbol!
x%3E=9
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4. -2%2F3x%3E=10
Divide -2%2F3 from both sides. Don't forget to reverse the inequality symbol!
x%3C=+-15
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5. 2x-3%3C7
Add 3 to both sides.
2x%3C10
Divide 2 from both sides.
x%3C5
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I hope I helped! Enjoy!