TigerLily06
TigerLily06 TigerLily06
  • 12-08-2020
  • Mathematics
contestada

Solve the inequality 2x-5 is less than or equal to -x+12 . Give your answer as an interval.

Respuesta :

09pqr4sT
09pqr4sT 09pqr4sT
  • 12-08-2020

Answer:

[tex]\Large \boxed{\mathrm{( - \infty, \frac{17}{3}) }}[/tex]

Step-by-step explanation:

[tex]2x-5\leq -x+12[/tex]

Add x and 5 on both parts.

[tex]2x+x\leq 12+5[/tex]

Combine like terms.

[tex]3x\leq 17[/tex]

Divide both parts by 3.

[tex]\displaystyle x \leq \frac{17}{3}[/tex]

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