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  • 07-12-2020
  • Mathematics
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Which of the following number lines represents the solution set of the inequality -x + 4 < 3? (image is attached)

Which of the following number lines represents the solution set of the inequality x 4 lt 3 image is attached class=

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crystaIgIitter
crystaIgIitter crystaIgIitter
  • 07-12-2020

Let's solve your inequality step-by-step.

[tex]\frac{-1}{3}x+4<3[/tex]

Step 1: Subtract 4 from both sides.

[tex]\frac{-1}{3} x[/tex] [tex]+ 4 - 4 < 3 -4[/tex]

[tex]\frac{-1}{3}x <-1[/tex]

Step 2: Multiply both sides by 3/(-1).

[tex](\frac{-1}{3})*(\frac{-1}{3}x)<(\frac{-1}{3}) *(-1)[/tex]

And... here's your answer!

[tex]x < -3[/tex] (Bubble C)

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