s8801779
s8801779 s8801779
  • 12-10-2018
  • Mathematics
contestada

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

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gmany
gmany gmany
  • 16-10-2018

[tex]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[/tex]

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edenbasipov edenbasipov
  • 13-07-2021

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!

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