Multiple choice general knowledge

A circle has a diameter of 6 less than x and is smaller than a circle with a diameter of 3. Which of these can x equal?

  1. x^2

  2. 10

  3. x+1

  4. 2x-8
Reveal answer Fill a bubble to check yourself
D Correct answer
Explanation

The circle's diameter is x - 6, and this diameter must be less than 3 (and positive). So 0 < x - 6 < 3, meaning 6 < x < 9. Only x = 8 satisfies this condition and is among the options (2x-8 = 8 when x = 8). x^2 gives values 36-81, 10 is outside the range, and x+1 cannot equal x.

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