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Title: Algebra 2 Albsolute Value Equations and Inequalities
Description: This will teach you how to do absolute value of numbers, how to solve them, and how to solve and graph absolute value inequalities.
Description: This will teach you how to do absolute value of numbers, how to solve them, and how to solve and graph absolute value inequalities.
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Algebra 2: Absolute Values and Inequalities
Algebraic Definition of Absolute Value:
| # | → Opposite of #
Example:
If x ≥ 0 , then | x | = x
If x ≤ 0 , then | x | = -x
If x = -1
Then | x | = 1
ALWAYS CHECK YOUR ANSWERS FOR EXTRANEOUS SOLUTIONS!!!
Example Problems:
Work through on your own
...
(1) | 15 - 3x | = 6
15 - 3x = 6
-3x = -9
x=3
15 - 3x = -6
-3x = -21
x=7
CHECK!! They should both work
...
Answers at the end
...
-2 ≥ x AND
x ≥3
Solutions:
ANSWERS:
(2) | 3x - 4 | = -4x - 1
3x - 4 = -4x - 1
7x = 3
x = 3/7
3x - 4 = 4x + 1
-x = 5
x = -5
CHECK!! x = 3/7 should NOT work, but x = -5 should
...
-2 ≥ x AND x ≥ 3
If this were to happen, there would be no solution, as x will never be less than or equal to -2 AND
greater than or equal to 3
Title: Algebra 2 Albsolute Value Equations and Inequalities
Description: This will teach you how to do absolute value of numbers, how to solve them, and how to solve and graph absolute value inequalities.
Description: This will teach you how to do absolute value of numbers, how to solve them, and how to solve and graph absolute value inequalities.