SOLUTION: Solve and graph. -6(2x - 10) + 12x (less than or equal to) 180

Algebra ->  Algebra  -> Inequalities -> SOLUTION: Solve and graph. -6(2x - 10) + 12x (less than or equal to) 180       Log On

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Question 94443: Solve and graph. -6(2x - 10) + 12x (less than or equal to) 180

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 true for any x value, the inequality has an infinite number of solutions.


So if you wanted to graph (I'm sure you don't have to), draw a number line and shade the entire number line. However, in this case, you don't need to graph.