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Lesson 20 Solving Inequalities Writing and Solving an Inequality Read the problem below. Then explore how to write and solve an inequality. When the temperature drops below 15°C in a building, the furnace turns on. At what temperatures will the heater turn on? Write an inequality to represent this situation, and graph the solution on a number ... Lesson Resources: 5.1 Writing Linear Equations in Slope-Intercept Form 5.2 Writing Linear Equations Given the Slope and a Point 5.3 Writing Linear Equations Given Two Points 5.4 Fitting a Line to Data 5.5 Point-Slope Form of a Linear Equation 5.6 The Standard Form of a Linear Equation 5.7 Predicting with Linear Models. Chapter Resources:
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Writing Inequalities Given a Graph (6.5) Essential Question: What information is needed to determine the equation of a line? Goal: I can write an inequality (in two variables) given a graph. Review: What inequality signs create dotted lines? _____ What inequality signs create solid lines? _____ What inequality sign implies to shade “up” ? See full list on study.com 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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Jan 23, 2013 · …a line with numbers on it.• We use a number line to count and to graphically show numbers. – Example: Graph x = 5. 7. Graphing Inequalities• Graph x = 2 A “closed” circle ( ) indicates we include the number.• 1) Write the inequality as a compound sentence, using the word “and.” _____ 2) Write the inequality as a compound sentence, using the symbol . _____ 3) Write the inequality in interval notation. _____ 4) Write out the inequality in words. 5) Graph the inequality. 6) How many solutions are there to the inequality? Explain. 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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Unit 7 Solving and Graphing Linear Inequalities. 7.1 Inequalities 7.2 Solving Inequalities 7.3 Multi-step Inequalities 7.4 Absolute Value Equations You will write an inequality to solve a real-world problem. To rent a certain car for a day costs $39 plus $0.29 for every mile the car is driven. Write an inequality to show the maximum number of miles you can drive and keep the rental cost under $100. The expression for the cost of the rental is 39 + 0.29m. The total cost of the Write an inequality for h. 2. Graph the inequality. In Exercises 3 and 4, use the following information. During a golf tournament, the leader was hitting an average Of 90 strokes Or less. 3. Let s represent the leader's average score. Write an inequality for s. 4. Graph the inequality. In Exercises 5 and 6, use the following information.
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EXAMPLE 5: WRITING AND GRAPHING LINEAR EQUATIONS GIVEN A Y-INTERCEPT AND A SLOPE Write an equation of a line with the given slope and y-intercept. Then graph the equation. a) slope of 1/5 and y-intercept is (0, –3) b) slope of –2 and y-intercept is (0, 7) y= 1 5 x−3 y=−2x+7 EXAMPLE 6: GRAPHING LINEAR EQUATIONS This is a comprehensive collection of free printable math worksheets for grade 7 and for pre-algebra, organized by topics such as expressions, integers, one-step equations, rational numbers, multi-step equations, inequalities, speed, time & distance, graphing, slope, ratios, proportions, percent, geometry, and pi.