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Solve the inequality for x. Show each step of the solution.
12x>9(2x-3)-15

User AMK
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2 Answers

6 votes

Answer:

The answer is x<7

Step-by-step explanation: Factor[12 x > -15 + 9 (-3 + 2 x)]. 12 x > 6 (-7 + 3 x). Then, you get 7 is greater than x. Hope this helps!

User Thong Kuah
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12x > 9(2x-3)-15\qquad|\text{use distributive property}\\\\12x > (9)(2x)+(9)(-3)-15\\\\12x > 18x-27-15\\\\12x > 18x-42\qquad|\text{subtract 18x from both sides}\\\\-6x > -42\qquad|\text{change the signs}\\\\6x < 42\qquad|\text{divide both sides by 6}\\\\x < 7

Solve the inequality for x. Show each step of the solution. 12x>9(2x-3)-15-example-1
User Catalin
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