Consider the inequality y(>/=)ax+6. The point (2, 1) is in the solution region when

Question

A. a>-(5/2)
B. a<-(5/2)
C. a(>/=)-(5/2)
D. a(</=)-(5/2)

Answer 1

Put x = 2 , y = 1 in inequality

y ≥ a x + 6

1 ≥ a ∙ 2 + 6

1 ≥ 2 a + 6

Subtract 6 to both sides

- 5 ≥ 2 a

Divide both sides by 2

- 5 / 2 ≥ a

This means:

a ≤ - 5 / 2