1. Fill in the blank with <, >, or = to make each statement true.
1 finger if <
2 fingers if >
3 fingers if =
2  3

2. 5  4
1 finger if <
2 fingers if >
3 fingers if =

3. 3  -5
1 finger if <
2 fingers if >
3 fingers if =

4. 1 finger if <
2 fingers if >
3 fingers if =
-2  -5 -6

5. -7  -4
1 finger if <
2 fingers if >
3 fingers if =

6. 1 finger if <
2 fingers if >
3 fingers if =

7. Thumb down if not a solution
x < 3
Is a solution?
Thumb up if yes
Thumb down if not a solution

8. Thumb down if not a solution
x < 3
Is a solution?
Thumb up if yes
Thumb down if not a solution

9. Graph the solution of x < 3
2.999 -2 -6 -4 6 4 2 -2 -6 -4 6 4 2

10. Graph the solution of x + 3 = 7-2 -6 -4 6 4 2

11. Graph the solution of x  -2-6 -4 6 4 2

12. Graph the solution of x  |-2|-6 -4 6 4 2

13. Inequalities  “less than or equal to”  “less than”  “greater than”
 “greater than or equal to”

14. QQ. Write the equation for each graph1 2 3 4 5 -2 -6 -4 6 4 2 -2 -6 -4 6 4 2 -2 -6 -4 6 4 2 -2 -6 -4 6 4 2 -2 -6 -4 6 4 2

15. Inequalities vs. Equations Solutions
Inequality
Equation
x + 5  9
x + 5 = 9
x = 4
x = 4
x = 5
x = 6
x  4

16. Addition Property of Inequalities
13 < 25 +2 +2

17. Addition Property of Inequalities
13 < 25
+100
+100

18. Addition Property of Inequalities
13 < 25
-13
-13

19. Addition Property of Inequalities If a < b, then a + c < b + c
“If I add the same number to both sides of an inequality, I get another TRUE inequality in the same direction.”
The same is true for >,  , and 

20. Solve for “x”and graph: 5x + 2  4x + 7-4 -8 8 4

21. Solve for “x”and graph: -2(x - 7) > 2x - 6
Check with ZERO -4 -8 8 4

22. Solve for “y”, then graph the solution.-2 -6 -4 6 4 2

23. Solve for “y”, then graph the solution.-3 -3
y  -4 -2 -6 -4 6 4 2

24. 3 < 5
(-3)
(-3)
-9 < -15 ???
-9 > -15

25. Multiplication Property of Inequalities
For all rational numbers a, b, and c:
When c is positive,
if a > b, then a • c > b • c
When c is negative,
if a > b, then a • c < b • c
If you multiply or divide an inequality by a negative number, reverse the inequality sign in the answer.

26. If you multiply or divide an inequality by a negative number, reverse the inequality sign in the answer.

27. Solve for “y”, then graph the solution.-3 -3
y  -4  -2 -6 -4 6 4 2

28. Solve for “y”, then graph the solution.-2 -6 -4 6 4 2

29. QQ: Solve for x. Graph # 4 3x  18 14x  -7 -8x > 32 -5x < 30
A,C,E,G
B,D,F 1
3x  18
14x  -7 2
-8x > 32
-5x < 30 3
9x  -3
7x > 49 4
-6x < -36
-4x  -24

30. 2-Step Inequalities 6 + 5y > 21 -6 + 6 + 5y > -6 + 21 5y > 15

31. 7x + 4  4x + 16
x  4 -2 -6 -4 6 4 2

32. 13a + 5  12a + 4 -2 -6 -4 6 4 2

33. 4m – 4 > 8 + 2m -2 -6 -4 6 4 2

34. -6x + 7 – x + 1 < 2x + 4 -7x + 8 < 2x + 4 +7x - 4 - 4 +-2 -6 -4 6 4 2

35. Assignment Page 184 # 1-31 odd, 32-48 even