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If 25 – 4x ≤ 16, find: the smallest value of x, when x is a real number. the smallest value of x, when x is an integer. - Mathematics

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Question

If 25 – 4x ≤ 16, find:

  1. the smallest value of x, when x is a real number.
  2. the smallest value of x, when x is an integer.
Sum
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Solution

25 – 4x ≤ 16

– 4x ≤ 16 – 25

– 4x ≤ – 9

`x ≥ 9/4`

x ≥ 2.25

The smallest integer greater than or equal to 2.25 is 3

  1. The smallest value of x, when x is a real number, is 2.25.
  2. The smallest value of x, when x is an integer, is 3.
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