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The mean of the numbers 2, 5, 2x and 7 is less than or equal...

Mathematics
WAEC 2010

The mean of the numbers 2, 5, 2x and 7 is less than or equal to 5. Find the range of the values of x

  • A. x \(\leq\) 3
  • B. x \(\geq\) 3
  • C. x < 3
  • D. x > 3
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Correct Answer: Option A
Explanation

mean \(\leq\) 5; \(\frac{2 + 5 + 2x + 7}{4}\) \(\leq\) 5

= \(\frac{14 + 2x}{4} \leq 5\)

= 14 + 2x \(\leq\) 5 x 4

14 + 2x \(\leq\) 20 ; 2x \(\leq\) 20 - 14

2x \(\leq\) 20 - 14

2x \(\leq\) 6

x \(\leq\) \(\frac{6}{2}\)

x \(\leq\) 3


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