1
2 -10 -9 -8 -7 -6 -5 -4 -3 -2 -1 0 1 2 3 4 5 6 7 8 9 10
3
4
5
6
7 “All real numbers less than or equal to negative two” -10 -9 -8 -7 -6 -5 -4 -3 -2 -1 0 1 2 3 4 5 6 7 8 9 10
8
9
10
11
12 x < 4
13 -10 -9 -8 -7 -6 -5 -4 -3 -2 -1 0 1 2 3 4 5 6 7 8 9 10
14 x < 4 -10 -9 -8 -7 -6 -5 -4 -3 -2 -1 0 1 2 3 4 5 6 7 8 9 10
15
16
17 x –4
18
19
20
21
22
23
24
25
26 VARIABLE S ON THE LEFT- SIDE !
27 VARIABLE S ON THE LEFT- SIDE ! x 6
28 -10 -9 -8 -7 -6 -5 -4 -3 -2 -1 0 1 2 3 4 5 6 7 8 9 10
29
30
31
32
33
34
35
36
37
38 “All real #s that are greater than negative five and less than seven”
39 -10 -9 -8 -7 -6 -5 -4 -3 -2 -1 0 1 2 3 4 5 6 7 8 9 10 “All real #s that are greater than negative five and less than seven” –5 < x < 7
40
41 -10 -9 -8 -7 -6 -5 -4 -3 -2 -1 0 1 2 3 4 5 6 7 8 9 10
42
43 “All real #s that are less than negative five or greater than seven”
44
45
46
47
48 2 x 4
49 -10 -9 -8 -7 -6 -5 -4 -3 -2 -1 0 1 2 3 4 5 6 7 8 9 10 x 2 and x 4 2 x 4
50 -10 -9 -8 -7 -6 -5 -4 -3 -2 -1 0 1 2 3 4 5 6 7 8 9 10 x 2 and x 4 2 x 4
51 -10 -9 -8 -7 -6 -5 -4 -3 -2 -1 0 1 2 3 4 5 6 7 8 9 10 “All real #s that are greater than or equal to two and less than or equal to four” x 2 and x 4 2 x 4
52
53
54
55 Solve 2x + 3 5 2x + 3 5 –3 –3 +7 +7 2x 12
56
57 x 3
58 -10 -9 -8 -7 -6 -5 -4 -3 -2 -1 0 1 2 3 4 5 6 7 8 9 10 x 3
59 -10 -9 -8 -7 -6 -5 -4 -3 -2 -1 0 1 2 3 4 5 6 7 8 9 10 x 3
60 -10 -9 -8 -7 -6 -5 -4 -3 -2 -1 0 1 2 3 4 5 6 7 8 9 10 “All real #s that are less than negative one or greater than three” x 3
61 -10 -9 -8 -7 -6 -5 -4 -3 -2 -1 0 1 2 3 4 5 6 7 8 9 10 1] Graph –2 x 5 2] Is x = 9 a solution of – x – 2 –4 ? 3] Solve 5 – 2x 274] Solve x + 5 < 2 SOLVE & GRAPH : 5] 3x + 2 –10 or 2x – 4 –4 6] –19 3x – 4 2 -10 -9 -8 -7 -6 -5 -4 -3 -2 -1 0 1 2 3 4 5 6 7 8 9 10
62 1] Graph –2 x 5 2] Is c = 9 a solution of – x – 2 –4 ? 3] Solve 5 – 2x 274] Solve x + 5 < 2 SOLVE & GRAPH : 5] 3x + 2 –10 or 2x – 4 –4 6] –19 3x – 4 2 YES ; –5 – 4 x – 11 -10 -9 -8 -7 -6 -5 -4 -3 -2 -1 0 1 2 3 4 5 6 7 8 9 10 x 0 x –5 and x 2