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College Algebra Section 1(7) Inequality Equations Section 1(8) Absolute Value and Inequalities. An inequality is a mathematical symbol used to convey the idea of size – greater or less. Notation Means Graphically Interval Notation. All numbers less or equal to 2. 2.
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College AlgebraSection 1(7)Inequality EquationsSection 1(8)Absolute Value and Inequalities
An inequality is a mathematical symbol used to convey the idea of size – greater or less. Notation Means Graphically Interval Notation All numbers less or equal to 2 2 All numbers larger than -3 -3 All numbers greater than 2 and less than or equal to 5 2 5 Brackets include the value, parenthesis don’t.
Quadratic Inequalities Must first “equal” zero Factor Set parts = zero Graph on a number line -7 4 Test a number from each interval back in the original
Rational Inequalities Factor everything Set all factors “equal” zero Solve Graph on a number line -2 1 2 -3 True 0 False 1.5 True 3 False Test a number from each interval back in the original
Absolute Value Copy the equation twice. In the first leave the inside. In the second change the inside. change leave Solve each Solution set:
Absolute Value Inequalities Split as before and solve Put on a number line Find true intervals change leave -7 2 -8 True 0 False 3 True Interval Notation: