swalveb92 swalveb92
  • 02-10-2018
  • Mathematics
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Which value below is included in the solution set for the inequality statement?
-3(x - 4) > 6(x - 1)

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gmany
gmany gmany
  • 07-10-2018

[tex]-3(x-4) > 6(x-1)\qquad\text{use distributive property}\\\\(-3)(x)+(-3)(-4) > (6)(x) + (6)(-1)\\\\-3x+12 > 6x-6\qquad|\text{subtract 12 from both sides}\\\\-3x > 6x-18\qquad|\text{subtract 6x from both sides}\\\\-9x > -18\qquad|\text{change the signs}\\\\9x < 18\qquad|\text{divide both sides by 9}\\\\x < 2[/tex]

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