Alg 3.7 Graphing Inequalities
Learning Objective: A.CED.3
A.REI.12
NAME __________________________
I will graph a 2 variable inequality and find the solution by shading appropriately
I will solve a 2 variable inequality by graphing
Determine whether the given point is a solution of the inequality. YES or NO.
1. (3, –6) ; 4x + 2y > 0
3. (7, 20) ; 3x – y > –1
2. (8, 14) ; 2y – 3x > 5
Graph each inequality. Don’t forget to shade. (< > dotted line , < > solid line)
1
4. x > 2
5. y < x – 2
6. y >
x–3
2
7. y <
1
x + 1
3
8. y – 2x > –4
9. y – 3 < 2x
y
y
_____________
_____________
10. 2y > 2x – 4
11. 3y < 2x – 6
12. y + 3x > –1
y
y
y
_____________
_____________
_____________
13. y <
16. y >
–
1) yes
3) yes
15. y > 4 –
3
x
2
14. y <
2
x+2
3
17. 2x + y > 3
18. 3x + 3y < 6
y
y
19. y < 3
Answers:
1
x
2
x+5
_____________
_____________
20. y + 2x > 4
21. 2y + 4x > 2
y
y
_____________
_____________