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If - 3 ≤ x ≤ 5 and - 5 ≤ y ≤ 3, what is the smallest value of (2x - y)?

  1. A) - 16
  2. B) - 9
  3. C) - 1
  4. D) None
Show answer

Answer: B) - 9

Explanation

B) −9. To make 2x − y as small as possible, take x at its lowest and y at its highest, since y is subtracted. So x = −3 and y = 3, giving 2(−3) − 3 = −6 − 3 = −9. Any other pair inside the ranges gives a larger value.

Asked in: GTCL 2018

Topic: Algebra