metro555 metro555
  • 08-12-2020
  • Mathematics
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which of the following inequalities is equivalent to -4x+2<-22-x?

which of the following inequalities is equivalent to 4x2lt22x class=

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MrRoyal
MrRoyal MrRoyal
  • 13-12-2020

Answer:

[tex]3x>-24[/tex]

Step-by-step explanation:

Given

[tex]-4x+2<-22-x[/tex]

Required

Solve for x

[tex]-4x+2<-22-x[/tex]

We start by taking like terms

[tex]-4x + x < -22 - 2[/tex]

[tex]-3x < -24[/tex]

Divide through by -1: Note, the inequality sign will change:

[tex]3x>-24[/tex]

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