110 likes | 137 Vues
Learn to solve and graph linear inequalities in one variable. Practice simplifying expressions and mastering inequality signs. Explore multistep inequalities with sign flipping rules. Includes examples and exercises.
E N D
Warm Up Solve each equation. 4• •4 • 1. 2. 3. • 4. 5x – 7 = -12 6 = 3 – x x/4 = 12 +7 +7 -3 -3 5x = -5 3 = -x x = 48 5 5 -1 -1 x = -1 x = -3 8x = -32 8 8 x = -4
6.1 Solve Linear Inequalities Objective – To be able to solve linear inequalities Standard 4.0 Students simplify expressions before solving linear equations and inequalities in one variable.
–10 –10 –10 –10 –9 –9 –9 –9 –8 –8 –8 –8 –7 –7 –7 –7 –6 –6 –6 –6 –5 –5 –5 –5 –4 –4 –4 –4 –3 –3 –3 –3 –2 –2 –2 –2 –1 –1 –1 –1 0 0 0 0 1 1 1 1 2 2 2 2 3 3 3 3 4 4 4 4 5 5 5 5 6 6 6 6 7 7 7 7 8 8 8 8 9 9 9 9 10 10 10 10 • Graph • x > 5 • x < -4 • x ≤ -1 • x ≥ 2
–10 –10 –9 –9 –8 –8 –7 –7 –6 –6 –5 –5 –4 –4 –3 –3 –2 –2 –1 –1 0 0 1 1 2 2 3 3 4 4 5 5 6 6 7 7 8 8 9 9 10 10 Example 2 Write an inequality represented by the graph. a) b) x ≤ 7 x > -4
–10 –9 –8 –7 –6 –5 –4 –3 –2 –1 0 1 2 3 4 5 6 7 8 9 10 Example 3 Solve and graph3 < m – 5 +5 +5 8 < m
–10 –9 –8 –7 –6 –5 –4 –3 –2 –1 0 1 2 3 4 5 6 7 8 9 10 Example 4 Solve and graph x + 8 1 -8 -8 x -7
6.2 Solve Multistep Inequalities Objective – To be able to solve multistep inequalities CA State Standard 4.0: Students simplify expressions before solving linear equations and inequalities in one variable.
Solving Multistep Inequalities Whenever you multiply or divide by a negative number, YOU MUST FLIP THE SIGN.