Lesson 6-5 Determine whether the ordered pair is a solution of the linear inequality. 27. y. x 2 7; (2, 5) 28. x # 3; (22, 6) 29. y $ 4x 1 3; (3, 9) Graph each linear inequality. 30. y, x 31. y, x 2 4 32. y.26x 1 5 33. y # 14 2 x 34. y $ 1 4 x 2 3 35. 2x 1 3y # 6 Write and graph a linear inequality for each situation. 36. Suppose you can spend ...

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Graph each inequality separately. –3 < b b ≤ 0 –6 –4 –2 2 4 6 – –0 46 – 2 0 2 4 6 º • Then combine the graphs. Remember that –3 < b ≤ 0 means that b is between –3 and 0, and includes 0. –6 – 5 –4 –3 –2 – 1 0 31 2 4 5 6 Course 2 11-4 Inequalities

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Graph sketching software can be used in this section to ensure that graphs are accurate. Simultaneous equations can also be solved graphically. If the graphs of each linear equation are drawn, then the solution to the system of simultaneous equations is the coordinates of the point at which the two graphs intersect.

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and Inequalities Example 5: Solving Radical Inequalities Method 1 Use a graph and a table. Solve . On a graphing calculator, let Y1 = and Y2 = 9. The graph of Y1 is at or below the graph of Y2 for values of x between 3 and 21. Notice that Y1 is undefined when < 3. The solution is 3 ≤ x ≤ 21.

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sample answers back into the original inequality to check your work. Lesson 3-3 Compound Inequalities The solution of a disjunction will be all the solutions from both its parts. Example C Solve and graph the compound inequality: 2x — 3 < 7 Or 4x — 4 > 20. Step l: Step 2: Step 3: Solve and graph 2x — 3 < 7. 2x —3+3<7+3 2x < 10 2 6 8 o

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For each number line, write the given set of numbers in interval notation. —8 2—1 2 2 6 3 8 4 4 —3 -2—1 0 1 4 3 4 —IS —4 —10 2 o o 3 2 o 2 Name the domain and range of each relation using interval notation. -10 2 s 8 10 123 5

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Students use number lines to graph equations and inequalities. Students use tables to organize information to write equations and inequalities. 6. Attend to precision. Students precisely define variables. 7. Look for and make use of structure. Students seek patterns or structures to model and solve problems using tables and equations.

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6.1 Solving Inequalities in one variable Graph linear inequalities in one variable Solve linear inequalities in one variable Review Inequalities: Less than < x<5 Greater than > x>-2 Less than or equal to ≤ x ≤3 Greater than or equal to≥ x ≥0 To graph Inequalities: Use an open circle for < or > then shade the line in for which direction it will go.

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Section 2.1 Writing and Graphing Inequalities 57 Writing Linear Inequalities from Graphs Writing Inequalities from Graphs The graphs show the height restrictions h (in inches) for two rides at an amusement park. Write an inequality that represents the height restriction of each ride.

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Displaying all worksheets related to - Writing Systems Of Inequalities From A Graph. Worksheets are Systems of, Solutions of inequalities work, Concept 11 writing graphing inequalities, Graphing linear inequalities answer key, Inequalities and their, Writing and graphing inequalities, Algebra, Solving graphing inequalities.

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This section is a step-by-step presentation of how to use algebra formulae on all the topics covered in this site which include formulae on -linear equations, inequalities, decimals, fractions, exponents, graphing linear equations, binomial theorem, pythagoras theorem, quadratic equations, algebraic expressions, factorisation, ratios, geometry ...

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-7 -6 -5 -4 -3 -2 -1 0 1 2 3 4 5 6 7 8 Compound Inequalities Now let's look at another form of a "double inequality" (having two inequality signs).

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For the given value, state whether each inequality is true or false. 5. 9 - x > 3, x = 6.5 false 6. 9.5 + n < 19, n = 10 false 7. 3k < 27 1−, 2 k = 8 true 8. 21 ≤ 4c, c = 5.2 false 9. x− ≤ 4 8, x = 32 true 10. −9c > 2, c = 3 1− 2 true Graph each inequality on a number line. 11. a < -2 12. t > -6 13. d ≥ 7-4-3-2-1 0-8-7-6-5-4 5 6 7 ...