8 7 Solving Inequalities by Adding and Subtracting. Daily Do from last class Homework Answers 8 6
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1 Daily Do from last class Homework Answers Graph the inequality: x 5 2. Write the inequality for this graph below s>30 2. h<12 3. p<60 4. c<10 5. s>92 6. w>7 7. m<12, t<18 9. s> T 11. F 12. T 13. T 14. F 15. F 16. T 18. T 19. T Solving Inequalities by Adding and Subtracting Your Name Mrs. T / / Notes 1
2 Objective: To be able to solve inequalities using addition or subtraction of constants. To be able to graph inequality solutions found. To understand what the solutions are. Virtue/Skill: When we graph inequalities we might need to solve for a variable in order to graph it. With two variables on a coordinate plane, we need to be able to check our solutions to understand how to shade. Graphing on a number line is similar to graphing on a coordinate plane. Which inequality does the description express? Sort them. < > < > is less than under is greater than over is no more than is less than or equal to Limit is at most is greater than or equal to is no less than is at least Ask yourself: Can it be more? Yes or No? Watch video 2
3 S Graphing boundaries as solutions or not Since, inequalities have more than 1 solution, graphing on a number line covers all decimals in between integers using directional shading. But you need to make clear if the number compared to is a solution or not. Graphing Inequalities Since there is more than one possible answer for x that will make the inequality true... We shade all of them...which means a direction starting at the boundary value which when shaded is a solution or when not shaded is not a solution x > 4 x > 4 x < 4 x < 4 3
4 Board Work x > 10 x > 5 x < 107 x < 12.5 Write an inequality for the graph. Write x and the number at the point. Then determine inequality sign from the direction
5 Solving Addition/ Subtraction Inequalities To solve: pretend like it is an = sign and do what you have always done k + 3> Solve and graph u 5 < 3 r 9 > 12 c + 6 < 2 5
6 Solve and graph 1 6 > n 5 2 < 2+a x 2.7 > 5.2 6
7 w (.32) < 50 Remember: < > < > open circle on number line closed circle on the number line 7
8 Summary Objective: To be able to solve inequalities using addition or subtraction of constants. To be able to graph inequality solutions found. To understand what the solutions are. Virtue/Skill: When we graph inequalities we might need to solve for a variable in order to graph it. With two variables on a coordinate plane, we need to be able to check our solutions to understand how to shade. Graphing on a number line is similar to graphing on a coordinate plane. Assignment: Workbook 8 7 Exit Question Solve and Graph 32 > h + ( 5) 8
9 Daily Do from last class Homework Answers 8 7 Solve and Graph 32 > h + ( 5) 1. r<1 2. e>5 3. k< 3 4. y> 1 5. n>10 6. g<6 7. m> 9 8. g< g< x< p<1 12. z< q> k>8 15. s< n+2<11; n<9 17. n 5> 2; n>3 18. n 6< 5; n< n+7>1; n> n 10>9; n> n 4<11; n< p> w> z< s>1 26. b< v> v> m<4 9
10 8 8 Solving Inequalities by Multiplying and Dividing Your Name Mrs. T / / Notes Objective: To be able to solve inequalities using multiplying and dividing. To be able to graph inequality solutions found. To understand what the solutions are. Virtue/Skill: When we graph inequalities we might need to solve for a variable in order to graph it. With two variables on a coordinate plane, we need to be able to check our solutions to understand how to shade. Graphing on a number line is similar to graphing on a coordinate plane. 10
11 How do we divide fractions? Solving Multiplication/ Division Inequalities To solve: pretend like it is an = sign and do what you have always done One Catch... if you have to multiply or divide by a negative number on both sides to isolate the variable...you must flip the inequality sign. FLIP x > 2 5 DON'T FLIP 9x < 81 11
12 Write an inequality for the following. A number divided by fifteen is greater than or equal to sixty. A number multiplied by negative two is less than zero. Solve and Graph 3y < 15 7m < 21 z < 3 t >
13 Solve and Graph 2x > < 1p 2 3x > 30 Summary Objective: To be able to solve inequalities using multiplying and dividing. To be able to graph inequality solutions found. To understand what the solutions are. Virtue/Skill: When we graph inequalities we might need to solve for a variable in order to graph it. With two variables on a coordinate plane, we need to be able to check our solutions to understand how to shade. Graphing on a number line is similar to graphing on a coordinate plane. Assignment: Workbook
14 Exit Question Solve and Graph 35 > 5h Homework Answers 8 8: 1. v>5 2. p< g> 3 4. c< a> 4 6. u> 6 7. n< 1 8. d < 7 9. a < b> 511. m< d>1 13. z> r> v< h< y> n<60; n< n/2> 11; n> n/5< 25; n< n>36; n> n> 60; n< n> 56; n> 14 14
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