oolymoof oolymoof
  • 02-05-2020
  • Mathematics
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-4(2x - 1) > 5 - 3x What is the first step in solving the inequality

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ProfessorAlvarez
ProfessorAlvarez ProfessorAlvarez
  • 02-05-2020

[tex]\text{The first step is to use the distributive property}\\\\-4(2x - 1) > 5 - 3x\\\\\text{Distribute the -4 to the variables inside the parenthesis}\\\\-4(2x - 1) > 5 - 3x\\\\-8x+4>5-3x\\\\\text{Although you're looking for the first step, I'll help solve the rest}\\\\\text{Add 3x to both sides}\\\\-5x+4>5\\\\\text{Subtract 4 from both sides}\\\\-5x>1\\\\\text{Divide by -5, also flipping the inequality since you're dividing by a negative}\\\\\boxed{x<-\frac{1}{5}}[/tex]

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