[Final] Math Ch 4 7 Lesson
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The document discusses solving radical inequalities and provides steps to graph the domain of a radical inequality: 1. Set all radicals equal to zero and solve for the variable to obtain critical numbers. 2. Ignore the inequality and solve as an equation to find more critical numbers. 3. Draw a number line with intervals at the critical numbers and test values in the original inequality, shading intervals where it is true and crossing out where false. 4. Shade the domain of the inequality on the number line based on the values possible for the variable. An example problem walks through these steps to graph the domain of an inequality. Practice problems are provided to reinforce the process.
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1) Find the degree by counting exponents. A degree of 4 is found for (x-5)(x+2)^2(x+4).
2) Determine if it is normal (no negative) or un-normal (with negative) based on degree and sign. Arrows are flipped for un-normal graphs.
3) Plot points and determine if the line bounces off, squiggles through, or passes through based on even or odd exponents. Diagram for Categorical Syllogism 1.pptx
Diagram for Categorical Syllogism 1.pptxmokidoki
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This document provides instructions for using Venn diagrams to determine the validity of categorical syllogisms. It explains how to represent universal and particular statements in the diagram by shading or placing an X in the relevant areas. Diagramming involves using three overlapping circles to represent the three terms and shading or marking areas based on the premises. If the conclusion is represented in the diagram after premises are mapped, the argument is valid.Lecture 7 (inequalities)
Lecture 7 (inequalities)HarithaRanasinghe
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1) An inequality is a mathematical statement that uses inequality symbols like <, , >, to show the relationship between two quantities.
2) When graphing inequalities on a number line, closed circles are used for and , and open circles are used for < and >.
3) Linear inequalities in two variables can be written as Ax + By < C, Ax + By > C, Ax + By C, or Ax + By C. An ordered pair (x,y) is a solution if it makes the inequality true.[Final] Math Ch 4 7 Lesson
- 1. Ch 4.7 Solving Radical Inequalities (Part II) By: Jasy H, Emily L, Colleen Y
- 2. What is an Inequality? A statement that one quantity is greater than, or less than another quantity Can YOU give me an example? 3 > 2 6 > 4
- 3. What is the definition for Radical Inequality? An equation where the variable occurs under a radical sign What does that mean? Example : (3x + 1) < x - 9
- 4. * A radical inequality, when graphed, will show the domain Example 1 Step 1 - Set all radicals in the inequality to zero and then solve for x. Step 2 - Ignore the inequality and solve as if it were =. These values obtained are critical numbers . Use critical numbers to test for the inequality.
- 5. Step 3 - Draw a number line with intervals at these critical numbers Step 4 - Test all the critical numbers in the original inequality to see if they are true to the inequality or not. If true, colour in the circle at that point * If false , draw a clear dot at that point.
- 6. Step 5 - After each critical number is tested, test at least one number that lies between each interval. If true, check off corresponding interval. If false, cross out corresponding interval ( DO NOT SHADE ) * Shade out quadrants that have numbers that cannot be solved when substituted into the original inequality.
- 7. Step 6 - Shade on the line according to which values are possible for x. Therefore, the inequality reads -1 < x < 8.
- 8. Practice! 油油油油
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- 10. More Practice!
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