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8/12/2019 Pre Algebra Lesson 5 7
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5-7 Solving Inequalities
Objective: Solve inequalities with
rational numbers.
8/12/2019 Pre Algebra Lesson 5 7
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5-Minute Check
Solve each equation. Check the solution.
1. n + 6.3 = -2.5
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5-Minute Check
Solve each equation. Check the solution.
1. n + 6.3 = -2.5 -8.8
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8/12/2019 Pre Algebra Lesson 5 7
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5-Minute Check
Solve each equation. Check the solution.
1. n + 6.3 = -2.5
2. 9.4 = w9.4 18.8
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5-Minute Check
Solve each equation. Check the solution.
1. n + 6.3 = -2.5
2. 9.4 = w9.4
3. k = -2/3
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5-Minute Check
Solve each equation. Check the solution.
1. n + 6.3 = -2.5
2. 9.4 = w9.4
3. k = -2/3 1/12
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5-Minute Check
Solve each equation. Check the solution.
1. n + 6.3 = -2.5
2. 9.4 = w9.4
3. k = -2/3
4. 4/5 = b(-1/2)
8/12/2019 Pre Algebra Lesson 5 7
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5-Minute Check
Solve each equation. Check the solution.
1. n + 6.3 = -2.5
2. 9.4 = w9.4
3. k = -2/3
4. 4/5 = b(-1/2) 3/10
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5-Minute Check
Solve each equation. Check the solution.
1. n + 6.3 = -2.5
2. 9.4 = w9.4
3. k = -2/3
4. 4/5 = b(-1/2)
5. 21/5+ p = 17/8
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5-Minute Check
Solve each equation. Check the solution.
1. n + 6.3 = -2.5
2. 9.4 = w9.4
3. k = -2/3
4. 4/5 = b(-1/2)
5. 21/5+ p = 17/8 13/40
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5-7 Solving Inequalities
Example
Solve each inequality. Graph each solution on a number line.
a. 2.7 + h < 3.8
8/12/2019 Pre Algebra Lesson 5 7
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5-7 Solving Inequalities
Example
Solve each inequality. Graph each solution on a number line.
a. 2.7 + h < 3.8
2.7 + h < 3.8
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5-7 Solving Inequalities
Example
Solve each inequality. Graph each solution on a number line.
a. 2.7 + h < 3.8
2.7 + h < 3.8 Get h alone on one side.
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5-7 Solving Inequalities
Example
Solve each inequality. Graph each solution on a number line.
a. 2.7 + h < 3.8
2.7 + h < 3.8 Get h alone on one side.2.72.7+ h < 3.8 2.7 Subtract 2.7 from each side.
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5-7 Solving Inequalities
Example
Solve each inequality. Graph each solution on a number line.
a. 2.7 + h < 3.8
2.7 + h < 3.8 Get h alone on one side.2.72.7+ h < 3.8 2.7 Subtract 2.7 from each side.
h < 1.1
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5-7 Solving Inequalities
Example
Solve each inequality. Graph each solution on a number line.
a. 2.7 + h < 3.8
2.7 + h < 3.8 Get h alone on one side.2.72.7+ h < 3.8 2.7 Subtract 2.7 from each side.
h < 1.1
Check: Try 0, a number less than 1.1.
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5-7 Solving Inequalities
Example
Solve each inequality. Graph each solution on a number line.
a. 2.7 + h < 3.8
2.7 + h < 3.8 Get h alone on one side.2.72.7+ h < 3.8 2.7 Subtract 2.7 from each side.
h < 1.1
Check: Try 0, a number less than 1.1.
2.7 + h < 3.8
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5-7 Solving Inequalities
Example
Solve each inequality. Graph each solution on a number line.
a. 2.7 + h < 3.8
2.7 + h < 3.8 Get h alone on one side.2.72.7+ h < 3.8 2.7 Subtract 2.7 from each side.
h < 1.1
Check: Try 0, a number less than 1.1.
2.7 + h < 3.8
2.7 + 0
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5-7 Solving Inequalities
Example
Solve each inequality. Graph each solution on a number line.
a. 2.7 + h < 3.8
2.7 + h < 3.8 Get h alone on one side.2.72.7+ h < 3.8 2.7 Subtract 2.7 from each side.
h < 1.1
Check: Try 0, a number less than 1.1.
2.7 + h < 3.8
2.7 + 0
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5-7 Solving Inequalities
Example
Solve each inequality. Graph each solution on a number line.
a. 2.7 + h < 3.8
2.7 + h < 3.8 Get h alone on one side.2.72.7+ h < 3.8 2.7 Subtract 2.7 from each side.
h < 1.1
Check: Try 0, a number less than 1.1.
2.7 + h < 3.8
2.7 + 0
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5-7 Solving Inequalities
Example
Solve each inequality. Graph each solution on a number line.
b. b1.16 5.25
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5-7 Solving Inequalities
Example
Solve each inequality. Graph each solution on a number line.
b. b1.16 5.25
b
1.16 + 1.16 5.25 + 1.16 Add 1.16 to each side.
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5-7 Solving Inequalities
Example
Solve each inequality. Graph each solution on a number line.
b. b1.16 5.25
b
1.16 + 1.16 5.25 + 1.16 Add 1.16 to each side.b 6.41
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5-7 Solving Inequalities
Example
Solve each inequality. Graph each solution on a number line.
b. b1.16 5.25
b
1.16 + 1.16 5.25 + 1.16 Add 1.16 to each side.b 6.41
Check: Try 7.16, a number greater than 6.41.
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5-7 Solving Inequalities
Example
Solve each inequality. Graph each solution on a number line.
b. b1.16 5.25
b
1.16 + 1.16 5.25 + 1.16 Add 1.16 to each side.b 6.41
Check: Try 7.16, a number greater than 6.41.
b1.16
716 - 116
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5-7 Solving Inequalities
Example
Solve each inequality. Graph each solution on a number line.
b. b1.16 5.25
b
1.16 + 1.16 5.25 + 1.16 Add 1.16 to each side.b 6.41
Check: Try 7.16, a number greater than 6.41.
b1.16
716 - 116
6
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5-7 Solving Inequalities
Example
Solve each inequality. Graph each solution on a number line.
b. b1.16 5.25
b
1.16 + 1.16 5.25 + 1.16 Add 1.16 to each side.b 6.41
Check: Try 7.16, a number greater than 6.41.
b1.16
716 - 116
6
The solution is b 6.41, all numbers greater than or equal to 6.41.
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5-7 Solving Inequalities
Assignment:12 - 28 even, 29 - 41 all