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  • 01-12-2020
  • Mathematics
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What is the solution of the inequality 12x+14≥32x+34

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MrRoyal
MrRoyal MrRoyal
  • 09-12-2020

Answer:

[tex]x \leq -1[/tex]

Step-by-step explanation:

Given

[tex]12x+14\geq 32x+34[/tex]

Required

Solve

[tex]12x+14\geq 32x+34[/tex]

Collect Like Terms

[tex]12x - 32x \geq 34 - 14[/tex]

[tex]-20x \geq 20[/tex]

Divide through by -20.

At this point, the inequality sign will change.

[tex]\frac{-20x}{-20} \leq \frac{20}{-20}[/tex]

[tex]x \leq -1[/tex]

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