Question

The ordered pair that does not belong to the solution set of the inequality 6x+3y(</=)10 is
A. (1, 1)
B. (2, 3)
C. (1, –4)
D. (–3, –3)

Answer 1

Check each ordered pair.

A.

( 1 , 1 )

x = 1 , y = 1

6 x + 3 y = 6 ∙ 1 + 3 ∙ 1 = 6 + 3 = 9 < 10

belong to the solution

B.

( 2 , 3 )

x = 2 , y = 3

6 x + 3 y = 6 ∙ 2 + 3 ∙ 3 = 12 + 9 = 21 > 10

not belong to the solution

C.

( 1 , - 4 )

x = 1 , y = - 4

6 x + 3 y = 6 ∙ 1 + 3 ∙ ( - 4 ) = 6 - 12 = - 6 < 10

belong to the solution

D.

( - 3 - 3 )

x = - 3 , y = - 3

6 x + 3 y = 6 ∙ ( - 3 ) + 3 ∙ ( - 3 ) = - 18 - 9 = - 27 < 10

belong to the solution

Answer B