1. Ch 6.1 One Step Inequalities (Addition) Objective: To solve and graph simple inequalities involving addition/subtraction.

2. Definitions -3 -2 -1 0 1 2 3 4 Number line: x-axis Inequality: Two numbers or expressions that are not “strictly” equal to each other. They are separated by one of these symbols: ≥ (less than) less than (greater than) greater than or equal to or equal to

3. Rules Closed (solid dot) represents “equal” on a graph Open (circle dot) represents “NOT equal” on a graph 1) Place the proper “dot” on the number line 2) Draw a line from the dot in direction designated by the inequality symbol x > x < Note: “x” must be on the left side

4. EquationInequality -3 -2 -1 0 1 2 3 4 One Solution -3 -2 -1 0 1 2 3 4 Infinite Solutions x + 2 = 5x + 2 ≤ 5 -2 x = 3 x ≤ 3

5. -3 -2 -1 0 1 2 3 4 Example 1 Example 2 -3 -2 -1 0 1 2 3 4 Example 3 k - 5 ≥ 8 +5 k ≥ 13 -13 0 13 -12 0 12 Example 4 x ≥ 2x > -1 -3 + p > 9 +3 p > 12

6. -3 -2 -1 0 1 2 3 4 Example 5 Example 6 Example 7Example 8 -10 0 10 -3 -2 -1 0 1 2 3 4 -1 0 1 2 3 x ≤ 3x < 2 -4 ≥ x - 6 +6 2 ≥ x x ≤ 2 3 + x < -7 -3 x < -10

7. 1) v – 8 ≥ 3 2) n + 5 > 12 Graph the following inequalities. 3) 3 ≤ k - 6 4) 2 < 8 + x Classwork 0 0 00

8. 5) 35 ≥ k + 16 6) -19 > -4 + n Graph the following inequalities. 7) b – 3 ≤ -20 8) 20 + a < 2 Classwork 0 0 00