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Bellringer Name the property illustrated. You may choose from the following: commutative, additon property of equality, reflexive, identity, associative, symmetric, inverse, subtraction property of equality. 1. If x 10 = 4, then x = 14. 2. 6 + 4x = 6 + 4x 3. 28 + 28 = 0 4. x + 9 + y = 9 + y + x 5. If x + 10 = 4, then x = 6 6. 99 + 0 = 99 7. (x+7)+y = x+(7+y) 8. If 7b = c then c = 7b 9. 1(xy) = xy 1 Solving Inequalities Which is true? 12 > 4 12 < 4 12 = 4 Trichotomy Property given two numbers, a & b only one is true: a<b, a>b or a=b Addition Property of Inequality adding the same number to both sides of an inequality is allowed Subtraction Property of Inequality subtracting the same number from both sides of an inequality is allowed 2 Example Solve and Graph 7x 5 > 6x + 4 Write the solution in set notation and interval notation. 3 Example Solve and Graph 4y 3 < 5y + 2 Write the solution in set and interval notation. 4 Example Solve and Graph 0.6x < 9 Write the solution in set and interval notation. 5 Example Solve and Graph 5z + 2 < 5z + 2 4 4 Write the solution in set and interval notation. 6 Practice Solve and Graph m < m + 4 9 Write the solution in set and interval notation. 7 Assignment 410E, 22,26,28,30,34 page 37 solve, graph, set & interval notation write one example for each of the following properties: Inverse for multiplication Distributive Transitive Multiplication Property of Equality Division Property of Equality 8