SOLUTION: Hi, can someone please help me solve the following inequality? 2 < (5 - 2x)/3 < 7

Algebra ->  Algebra  -> Inequalities -> SOLUTION: Hi, can someone please help me solve the following inequality? 2 < (5 - 2x)/3 < 7       Log On

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Question 67663: Hi, can someone please help me solve the following inequality?

2 < (5 - 2x)/3 < 7

Answer by funmath(2873) About Me  (Show Source):
You can put this solution on YOUR website!
2 < (5 - 2x)/3 < 7
3%282%29%3C3%285-2x%29%2F3%3C3%287%29
6%3C5-2x%3C21
6-5%3C5-5-2x%3C21-5
1%3C-2x%3C16 Flip the inequality signs when you divide by a negative number.
1%2F-2%3E-2x%2F-2%3E16%2F-2
-1%2F2%3Ex%3E-8
highlight%28-8%3Cx%3C-1%2F2%29Write the numbers least to greatest making sure to keep the inequality signs pointing at the same numbers.
Happy Calculating!!!