Select the point that lies on the graph of y > -3x + 4.?

Question

A.(-1, 7)
B.(0, 3)
C.(1, 3)
D.(3, -6)

Answer 1

Graph the inequlaity y > -3x  +4. and locate the points

 

 

Check the point which lies on the shaded region.

Point C(1. 3) lies on the shaded region.

Point (1, 7) lies on the border but the inequality symbol is >, so the points on the line are not included in the solution set.

 

Comments

The inequality is y > - 3x + 4.

• A. (- 1, 7).

Substitute the values of (x, y) = (- 1, 7) in y > - 3x + 4.

7 > - 3(- 1) + 4

7 > 3 + 4

7 > 7.

The above statement is false.

So, the point (- 1, 7) does not lies on the graph of y > - 3x + 4.

• B. (0, 3).

Substitute the values of (x, y) = (0, 3) in y > - 3x + 4.

3 > - 3(0) + 4

3 > 0 + 4

3 > 4.

The above statement is false.

So, the point (0, 3) does not lies on the graph of y > - 3x + 4.

• C. (1, 3).

Substitute the values of (x, y) = (1, 3) in y > - 3x + 4.

3 > - 3(1) + 4

3 > - 3 + 4

3 > 1.

The above statement is true.

So, the point (1, 3) lies on the graph of y > - 3x + 4.

• D. (3, - 6).

Substitute the values of (x, y) = (3, - 6) in y > - 3x + 4.

- 6 > - 3(3) + 4

- 6 > - 9 + 4

- 6 > - 5.

The above statement is false.

So, the point (3, - 6) does not lies on the graph of y > - 3x + 4.

 

Option C is the correct choice.