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InequalitiesDefinitions Rational Numbers: A number that can be expressed as
the quotient of two integers Example 1 Identify each number as rational or
irrational Inequalities > Greater than The number line Solving Inequalities Inequality Properties Transitive Property a > b and b > c a > c Addition Property for Inequalities a > b a + c > b + c Multiplication properties for Inequalities (If c is positive, then a > b
ac > bc, c > 0 ) Subtraction property for Inequalities a > b a − c > b − c Example 2 Solve the following inequality 2x + 4 >10
Example 3 Solve the following inequality 12x + 36 ≤ 6x + 48
Example 4 Solve the following inequality Compound Inequalities Example 5 Solve Example 6 Solve Example 7 Solve the following inequality 0 ≤ x + 3 ≤ 5 Example 8 Solve the following inequality − 4 ≤ 3x + 3 ≤ 5 |