Asked by please help me
Consider the inequality y(>/=)ax+6. The point (2, 1) is in the solution region when
A. a>-(5/2)
B. a<-(5/2)
C. a(>/=)-(5/2)
D. a(</=)-(5/2)
A. a>-(5/2)
B. a<-(5/2)
C. a(>/=)-(5/2)
D. a(</=)-(5/2)
Answers
Answered by
Bosnian
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
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
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