Solving Absolute Value Equations & Inequalities Solving Absolute Value Equations & Inequalities...
-
Upload
tyler-chambers -
Category
Documents
-
view
212 -
download
0
Transcript of Solving Absolute Value Equations & Inequalities Solving Absolute Value Equations & Inequalities...
Solving Absolute Value Solving Absolute Value Equations & InequalitiesEquations & Inequalities
Zafar-iqbal
Absolute Value (of x)
• Symbol lxl
• The distance x is from 0 on the number line.
• Always positive
• Ex: l-3l=3
-4 -3 -2 -1 0 1 2
Ex: x = 5
• What are the possible values of x?
x = 5 or x = -5
Absolute is the distance from zero to both side on number line
means left right
|-4| shows the direction of distance from zero to left side
while |4| shows the direction of
distance from zero to right side_4--_3--_2--_1--0--1--2--3--4--
That's why |4|=4and
|-4|=4In short words absolute value is
always positive.Absolute is distance so distance
will always positive
Insert < or >or= sign in the shaded area to make the
statements true1. |6| …… |-6|2. |2|…….|-3|3. |9|….....-|-94. -|10|…-|8|
5. -|-11|…...|-11|
Exercise 1.4 page #28
Evaluate Insert <,> sign to make
the statements true.
1)|4|=… 11. 2…….3
2)|-3|=… 12. 4……-2
3)|-15|=… 13. -3……0
4)|-12|=… 14. -6……-4
5)|0|=… 15. ½…..-2/3
6)|54|=… 16. 3/5…..4/5
7)-|-8|=… 17. 0.2….0.4
8)-|92|=… 18. -0.2….-0.4
9)-|65|=… 19. -1/2……-1
10)-|-34|=… 20. 0….-0.9
21. 4….-4 22. -3/4……..-1
23. -2.1…..-2 24.-1.83…….-1.82
25. 5/9….-5/9 26. -9……..-12
27. -3/2…..3/2 28. -4.09….-5.3
29. 0.49…..0.43 30. -1.0……-0.7
31. 5……..-7 32. 0.001….0.002
33.-0.006…-0.007 34. ½…..-1/2
35. -5…….-2 36. 5/3….3/5
37.-2/3….-3 38. 5/2…..7/2
39.-1/2….-3/2 40. -0.4….-0.5
Insert either <, > or = in the shaded area to make the statements true.
41.8….|-7| 50. |2/5|……|-0.40|
42. |-8|….|-7|
43. |0|……|2/3|
44. |-4|….-3
45. |-3|….|-4|
46. |-1.9|….-1.8
47. 4…… |-9/2|
48. -5……|5|
49. |-6/2|…….|-2/6|
Insert either <,> or = sign in the shaded area to make a statements True.
51. 2/3+ 2/3+ 2/3+ 2/3 ….4(2/3)
52. 2/3.2/3……..2/3+2/3
53. ½.1/2 …….1/2+1/2
54. 5+2/3………2/3+5
55. 5/8-1/2……..5/2+1/2
56.2.1/3.1/2……2.1/3+1/2
57.what number is 4 unit from zero on the number line.
58.what number is 5 unit from zero on the number line.
59.what number is 2 unit from zero on the number line.
60.Are there any number there absolute value is not positive? Explain your answer.
61.What is the absolute value of a number.