SOLUTION: How do I solve and graph this problem? -6(2x - 10) + 12x is less than or equal to 180

Algebra ->  Algebra  -> Inequalities -> SOLUTION: How do I solve and graph this problem? -6(2x - 10) + 12x is less than or equal to 180      Log On

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Question 93537This question is from textbook Prentice Hall Mathematics Algebra 2
: How do I solve and graph this problem?
-6(2x - 10) + 12x is less than or equal to 180This question is from textbook Prentice Hall Mathematics Algebra 2

Answer by jim_thompson5910(21667) About Me  (Show Source):
You can put this solution on YOUR website!
-6%282x+-+10%29+%2B+12x+%3C=180

-12x+%2B60+%2B+12x+%3C=180 Distribute

-12x%2B12x%3C=180-60Subtract 60 from both sides


0x%3C=180-60 Combine like terms on the left side


0x%3C=120 Combine like terms on the right side


0%3C=120 Simplify

Since this inequality is always true for any x value, this means x can equal any number. So there are an infinite number of solutions.