ABSENT ASSIGNMENT
OCTOBER 14, 2011
Solving and Graphing Inequalities
To graph an inequality, you must do two things. First you must put a circle on the
number (in this case, 3). Second, you must shade to the side of the circle that contains
the solution set.
Circle:
> and < get an open circle.
> and < get a closed circle.
Shade:
Less than (and < )
 Left (think L, L)
Greater than (and > )  Right
THE ONE DIFFERENCE BETWEEN SOVING EQUATIONS AND INEQUALITIES
When you multiply or divide on both sides by a negative number, you must turn the inequality around.
8 – 3x < 17
-8
-8
- 3x < 9
-3
-3
x > -3
a) 5x – 4 > -14
* Dividing both sides by -3, you must turn the inequality around. It changes from < to >.
b) 7(4x + 6) > 6(3x + 2)
c) 2(3x – 4) – 5(2x + 3) > -7
Do all problems (work and graphs) in NOTEBOOK:
1) 12x – 17 > 19
2) 41 – ½ x < 39
4) 8(5x + 4) – 6(5x + 7) < 20
5) 6(4x+ 1) > 5(3x + 3)
7) 6(3x – 4) + 3(7 – 12x) > 15
8) 26 - ⅝ x > -2
10) 4(3x + 4) < 11(2x + 6)
11) 7(2x – 5) – 6(3x – 7) > -9
13) 5(8x – 4) > 12(2x – 3)
14) 4(8x – 3) + 5(8 – 6x) < 28
3) 14x - 2 > 20x + 16
6) ¾ x – 11 >-14
9) 8(7x + 1) > 5(12x + 4)
12) 4(10x – 7) > 7(6x – 4)
15) 7(3x + 2) < 5(6x – 8)