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KimiaLea
KimiaLea KimiaLea
  • 24-03-2016
  • Mathematics
Answered

Solve the inequality 5x-7<2x -1

Verified Answer :

sbernal
sbernal sbernal
  • 24-03-2016

You have to move the x's to one side so
5x-2x<-1+7
3x<6
Then you get x alone so you divide both sides by 3
X<2
You switch the sign
X>2

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brookegallagher
brookegallagher brookegallagher
  • 24-03-2016

To solve the inequality, we have to isolate x. Here's how:

\(5x-7\ \textless \ 2x-1 \\ (5x-7)+7\ \textless \ (2x-1)+7 \\ 5x\ \textless \ 2x+6 \\ (5x)-2x\ \textless \ (2x+6)-2x \\ 3x\ \textless \ 6 \\ \frac{3x}{3} \ \textless \ \frac{6}{3} \\ x\ \textless \ 2\)

Your answer isĀ x<2.

Hope this helps!

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