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Math 2 Precalculus Algebra Name________________________ Date_________________________ Inequalities — 1.5 Inequalities and Notation English Graph a number is less than 2 Set Notation {x Interval Notation x < 2} a number is less than or equal to 2 ( − ∞ , 2] a number is greater than 2 (2 , ∞) a number is greater than or equal to 2 {x x ≥ 2} ( 2 , 5) a number is between but not equal to 2 and 5 a number is greater than or equal to 2 and is less than or equal to 5 {x 2 ≤ x ≤ 5} all real numbers Linear Inequalities To solve, treat exactly like a linear equation, except when multiplying or dividing by a negative number, remember to also “switch” the inequality sign. Solve. 1. − 1 1 x+7≤ x−2 6 3 6 − 5x <2 3 2. −5 ≤ 3. ( x − 3 ) ( x + 3 ) ≥ ( x + 5 )2