Question

Select the ordered pairs that are solutions to the inequality

2x -3y ≥ 12

(select all that apply)

A. (1, -3)
B. (8, 1)
C. (3, 2)
D. (-2, -6)
E. (2, 3)
F. (1,8)
G. (-3, 1)

Answer 1

The answers are B and D

$2(8) - 3(1) \geqslant 12 \\ 16 - 3 \geqslant 12 \\ 13 \geqslant 12$
$2( - 2) - 3( - 6) \geqslant 12 \\ - 4 + 18 \geqslant 12 \\ 14 \geqslant 12$

Hope this helps. - M