[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!
- 10. More Practice!