Question

Which of the following coordinates of points belong to the solution set of the inequality y < 3x2 + 3x - 6?
a. (0, 3)
b. (-1,-1)
c. (-1,2)
d. (1, -2​

Answer 1

Step-by-step explanation:

b) may be

not confirm

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Answer 2

Given:

y < 3x² + 3x - 6

Find inequality

(a) For (0,3)

3<3(0)²+3(0)-6

3<0+0-6

3<-6

The inequality is not satisfied.

(b) For (-1,-1)

-1<3(-1)²+3×-1-6

-1<3-3-6

-1<-6

The inequality is not satisfied.

(c) For (-1,2)

2<3(-1)²+3×-1-6

2<3-3-6

2<-6

The inequality is not satisfied.

(d) For (1, -2​)

-2<3(1)²+3×1-6

-2<3+3-6

-2<0

The inequality is satisfied.

The correct option is "d"

Hence the answer is (1,-2)