Question

Which point is a solution to y< 6x + 2? (-1,0) (1,8) (0,1) (2,15)

Answer 1

(0, 1)

Explanation:

Basically, substitute the x and y coordinates into the inequality and check whether the solution tallies with the inequality given.

y < 6x + 2 is the equation provided.

For (-1, 0) , when x = -1 , y = 0 , 0 < 6(-1) + 2 -> 0 < -4 (False)

For (1, 8) , when x = 1, y = 8, 8 < 6(1) + 2 -> 8 < 8 (False)

For (0, 1) , when x = 0, y = 1, 1 < 6(0) + 2 -> 1 < 2 (True)

For (2, 15) , when x = 2, y = 15, 15 < 6(2) + 2 -> 15 < 14 (False)

Hence, the only coordinate that satisfies the inequality is (0, 1)