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

If A,
$2(1) - 3( - 3) \geqslant 12 \\ 2 + 9 \geqslant 12(wrong)$
If B,
$2(8) - 3(1) \geqslant 12 \\ 16 - 3 \geqslant 12(correct)$
If C,
$2(3) - 3(2) \geqslant 12 \\ 6 - 6 \geqslant 12(wrong)$
If D,
$2( - 2) - 3( - 6) \geqslant 12 \\ - 4 + 18 \geqslant 12(correct)$
If E,
$2(2) - 3(3) \geqslant 12 \\ 4 - 9 \geqslant 12 (wrong)$
If F,
$2(1) - 3(8) \geqslant 12 \\ 2 - 24 \geqslant 12(wrong)$
If G,
$2( - 3) - 3(1) \geqslant 12 \\ - 6 - 3 \geqslant 12(wrong)$

The answers are B and D

Hope this helps. - M

Answer 2

Answer:

The answers are (8,1) and (-2,-6)