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Which of the following ordered pairs is a solution of the inequality 3x + 6y ≤ 20
a. (2,1)
b. (3,2)
c. (3,3)
d. (0,4)​


Sagot :

Question:

Which of the following ordered pairs is a solution of the inequality 3x + 6y ≤ 20?

Proving:

A. (2, 1)

  • 3x + 6y ≤ 20
  • 3(2) + 6(1) ≤ 20
  • 6 + 6 ≤ 20
  • 12 ≤ 20

Is 12 less than or equal to 20? Yes, it is.

>>>>

B. (3, 2)

  • 3x + 6y ≤ 20
  • 3(3) + 6(2) ≤ 20
  • 9 + 12 ≤ 20
  • 21 ≤ 20

Is 21 greater than or equal to 20? No, it's not.

>>>>

C. (3, 3)

  • 3x + 6y ≤ 20
  • 3(3) + 6(3) ≤ 20
  • 9 + 18 ≤ 20
  • 27 ≤ 20

Is 27 less than or eual to 20? No, it's not.

>>>>

D. (0, 4)

  • 3x + 6y ≤ 20
  • 3(0) + 6(4) ≤ 20
  • 0 + 24 ≤ 20
  • 24 ≤ 20

Is 24 less than or equal to 20? No, it's not.

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  • A. (2, 1)