Absolute Value - Algebra - Lecture Notes, Study notes of Algebra

Absolute Value, Equations, Inequalities, Interval and Set Notation, Absolute Value, Differs, College Algebra, No Solution, More Than are the key points of this lecture.

Typology: Study notes

2011/2012

Uploaded on 12/31/2012

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Lesson
Absolute Value
Solve the followin
g
equations:
1) |x| + 6 = 4
2) |x - 1| = 6
3) |8x + 2| + 5 = 9
4) 7x + 21
3 = 7
5) 2(x + 1) + 6 = 10
6) |x2 - 4x - 4| = 8
7) |x2 - 4x + 4|= 2
8) 11x + 44
4 = 11
Solve the equation.
9) 2x + 6
3 = 2
Solve the inequalities; express
y
our answer usin
g
interval and set notation.
10) |x| < 5
11) |x| < -12
12) |x| > -9
13) |x + 1| - 6 -3
14) |5x + 2| > 3
15) |4x + 9| + |-5| 10
16) |x - 5| < 0
CollegeAlgebra
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Lesson

Absolute Value

Solve the following equations:

1) |x| + 6 = 4

2) |x - 1| = 6

3) |8x + 2| + 5 = 9

7x + 21

5) 2(x + 1) + 6 = 10

6) |x2 - 4x - 4| = 8

7) |x2 - 4x + 4|= 2

11x + 44

Solve the equation.

2x + 6

Solve the inequalities; express your answer using interval and set notation.

10) |x| < 5

11) |x| < -

12) |x| > -

13) |x + 1| - 6 ≤ -

14) |5x + 2| > 3

15) |4x + 9| + |-5| ≤ 10

16) |x - 5| < 0

17) |x + 1| ≤ 0

18) x2^ ≤ 25

Solve the problem.

19) Express that x differs from -7 by more than 3 as an inequality involving absolute value. Solve for x.