sheluvdaedae sheluvdaedae
  • 20-05-2020
  • Mathematics
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If 5<2x+3<11, what is the possible range of value of -4x-6

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eudora eudora
  • 25-05-2020

Answer:

-10 > (-4x - 6) > -22

Step-by-step explanation:

Given inequality is 5 < 2x + 3 < 11

Now we will multiply this inequality by (-2) resulting,

5(-2) > (2x + 3)(-2) > 11(-2)

-10 > (-4x - 6) > -22 (Sign of inequality gets reversed when the inequality is multiplied or divided by a negative number)

Therefore, the possible range of (-4x - 6) is between -22 and -10.

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