Understanding linear inequalities in two variables

Which of the following groups pf points are a solution set of the following inequality?

3x + 12y < -36

• (0, 3) and (4, -6)

• (1, 2) and (0, 4)

• (0, -4) and (-2, -5)

Which of the following is/are solution to the inequality x + 3y ≤ 6?

• Point D only

• Points C and D

• Points A and B

• Points A, B and C

Use substitution to check if the given point makes the inequation a true statement.
 $y<3+x\ (0,−4)$ 

• TRUE

• FALSE

(-1, 3) is a solution of y > x + 6.

• TRUE

• FALSE

Is (0, 0) a solution to the system:

2x - y > 5

-3x + 4y < 8

• yes

• no

• (5, 2)

• (0, 3)

• no solution

• (10, 15)

• Yes

• No

Is (-2, 3) a solution to the system:

2x - y > 5

-3x + 4y < 8

• yes

• no

• (-1, -1)

• (-5, -3)

• (3, 4)

• (5, -2)

Tags

A.3D

How do you know if a point is a solution to an inequality?

• If it is in the shaded region

• If it is on the dotted line

• If it is not in the shaded region

• If it is on a solid line