damisi
damisi damisi
  • 09-01-2019
  • Mathematics
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Which of the following is the solution to the inequality below ? -6/5(4-x)<_-4(X+1/2)

Which of the following is the solution to the inequality below 654xlt4X12 class=

Respuesta :

calculista
calculista calculista
  • 09-01-2019

Answer:

The answer is the option D

[tex]x\leq 7/13[/tex]

Step-by-step explanation:

we have

[tex]-\frac{6}{5}(4-x)\leq -4(x+\frac{1}{2})[/tex]

Multiply by [tex]-5[/tex] both sides

[tex]6(4-x)\geq 20(x+0.5)\\24-6x\geq20x+10\\24-10\geq 20x+6x\\14\geq 26x[/tex]

Rewrite

[tex]26x\leq 14\\x\leq 14/26\\ x\leq 7/13[/tex]

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