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  • 28-01-2019
  • Mathematics
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Eight less a number is less than or equal to seventeen

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znk znk
  • 28-01-2019

Answer:

n ≥ -9  

Step-by-step explanation:

Let n = the number

8 less than a number means "n – 8", but

8 less a number means "8 – n," so

8 – n ≤ 17     Subtract 8 from each side

    -n ≤ 9      Multiply each side by -1

    n ≥ -9

Note: When we multiply by a negative number, we must reverse the inequality.

Check:

Try n = -8.

8 – (-8) ≤ 17

  8 + 8 ≤ 17

       16 ≤ 17

True.

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