3x>y y<5 which of the following ..

Question

Which of the following ordered pairs are solution to the system of inequality (1,3) (1,2) (-12,50) (9,4) (4,10) (-2,-7)

Answer 1

Since y<5 we can eliminate all pairs in which y≥5, which leaves:

(1,3), (1,2), (9,4), (-2,-7).

3x for each of these respectively is: 3, 3, 27, -6. Pair these with the values of y:

(3,3), (3,2), (27,4), (-6,-7).

All but (3,3) satisfy 3x>y, so the ordered pairs that satisfy both inequalities are:

(1,2), (9,4), (-2,-7).