Question

The solutions to the inequality y > −3x + 2 are shaded on the graph. Which point is a solution? (0, 2) (2, 0) (1, −2) (−2, 1)

Answer 1

y > -3x + 2

one possible solution is : (2,0)

Answer 2

(2,0) is a solution.

Explanation:

The given inequality is y > -3x + 2 and we have find the point of solution of this inequality.

For ( 0,2 ) ⇒ y > (-3) (0) + 2 ⇒ y > 2

But y coordinate of the point is 2 so it is not the solution.

For ( 0,2 ) ⇒ Y > (-3) (2) + 2 ⇒ y > (-6) + 2

⇒ y > -4

and y coordinate is 0 which is greater than -4 so (2,0) is a solution of the inequality.

For ( 1,-2) ⇒ y > (-3) (1) + 2 ⇒ y > (-3) + 2

⇒ y > (-1)

While y coordinate is (-2) which is less than (-1) so this point is not a solution.

For (-2,1) ⇒ y > (-3) (-2) +2 ⇒ y > 6 + 2

⇒ y > 8

while y coordinate is 1 which is less than 8 so ( -2,1 ) is not solution.

(2,0) is a solution.