myjaesinha11 myjaesinha11
  • 09-09-2021
  • Mathematics
contestada

Solve the inequality 2x - 5 \le -x +12. Give your answer as an interval.

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et762572
et762572 et762572
  • 09-09-2021

Answer: [tex]\begin{bmatrix}\mathrm{Solution:}\:&\:x\le \frac{17}{3}\:\\ \:\mathrm{Decimal:}&\:x\le \:5.66666\dots \\ \:\mathrm{Interval\:Notation:}&\:(-\infty \:,\:\frac{17}{3}]\end{bmatrix}[/tex]

Step-by-step explanation:

[tex]2x-5\le \:-x+12[/tex]

[tex]2x\le \:-x+17\\[/tex]

[tex]2x+x\le \:-x+17+x[/tex]

[tex]3x\le \:17[/tex]

[tex]\frac{3x}{3}\le \frac{17}{3}[/tex]

[tex]x\le \frac{17}{3}[/tex]

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