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POD 5d = 32 Write an inequality for each graph:. Copy and complete each statement below by replacing each blank space with <, > or =.
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POD 5d = 32 Write an inequality for each graph:
Copy and complete each statement below by replacing each blank space with <, > or =
When you multiply each side of an inequality by a positive number, the direction of the inequality symbol stays the same. When you multiply each side by a negative number, the direction of the inequality symbol reverses. Multiplication Property of Inequality for c > 0 For every real number a and b, and for c > 0 If a > b , then ac > bc; if a < b, then ac < bc Examples: 4 > -1, so 4(5) > -1(5) -6 < 3, so -6(5) < 3(5) This property is also true for ≥ and ≤.
Multiplying by a Positive Number Solve: x x < -2 In order to solve, treat the inequality sign as an equal sig and solve for x. In order to get x by itself, multiply both side by 2. < -1 × 2 2 × 2 Why does my inequality symbol NOT reverse?
Multiplying by a negative number n ≤ 1.5Multiply both sides by -2to get n by itself. n ≥ -3Why did my inequality symbol reverse?? -2
Practice Solve and graph: b > ½ 4 Solve and graph: x < 5 -3
Solving inequalities using division is similar to solving inequalities using multiplication. **Remember that division by zero is undefined** Division property of Inequality For every real number a and b, and for c > 0, If a > b, then a > b Example 6 > 4, so 6 > 4 For every real number a and b, and for c < 0, if a > b, then a < b Example: 6 > 4, so 6 < 4 c c c 2 2 c c -2 -2
Solve: -5z ≥ 25 -5z ≥ 25 -5 -5 z ≤ -5 Why did my inequality symbol reverse??
Solve: -2t < -8 -2t < -8 -2 -2 t > 4
Practice Solve: -3w ≥ 12 Solve: 0.6 > -0.2n
Homework Page 149 #’s 1-12, 29-34, 39-42, 59, 61, 65-67, 73