How to find inequality solutions
[DOC File]Inequalities & Word Problems
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4th: Write and solve the inequality. 5) If 5 times a number is increased by 4, the result is at least 19. Find the least possible number that satisfies these conditions. 6) The sum of twice a number and 5 is at most 15. What are the possible values for the number? 7) The cost of a gallon of orange juice is $3.50.
[DOC File]1. Solve the equation by factoring.
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Find all solutions of the equation 2x2 + 3 = 2x and express them in the standard form a + bi. Answer: 16. Find all real solutions of the equation 2x3 + x2 - 4x - 2 = 0. ... Solve the inequality x2 < 2x + 8 in terms of intervals and illustrate the solution set . on the real number line. Answer: x2 < 2x + 8 - 2x - 8 < 0 (x - …
[DOCX File]Unit 8: Sequences and Inequalities
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In order to graph the solution to linear inequalities we must determine what the inequality is telling us above the variable. For instance, x < 6 is telling me that our variable could equal any number less than 6, while x ≥ -2, tells me that x must be either -2 or any number greater than -2. We are graphing all of the solutions to this ...
[DOC File]Exploring Linear Inequalities in One Variable
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An inequality. compares two quantities that are not equal. Use , or ≥ to write an inequality for Michelle’s number x. What range of numbers makes this inequality true? Gizmo Warm-up. In the Exploring Linear Inequalities in One Variable Gizmo™, you will explore inequalities like x + 3 < 8 and find their . solutions
[DOC File]Solving Two-Step Equations
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Since the solutions to an inequality include all rational numbers that satisfy it, inequalities have an infinite number of solutions. Remember that the solutions for an inequality can also be graphed. Example 5. This is the graph of the solution from example 2 above; Example 6. This is the graph of the solution from example 4 above;
[DOC File]CHAPTER 3: POLYNOMIAL AND RATIONAL FUNCTIONS
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To solve a polynomial inequality: Find an equivalent inequality with 0 on one side. Solve the related polynomial equation. Use the solutions to divide the x-axis into intervals. Then select a test value from each interval and determine the polynomial’s sign on the interval.
[DOC File]Algebra 2/Trig1
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Put each inequality into slope-intercept form and graph the boundary line for each inequality. Use a dashed line for and a solid line for ≤, ≥. Shade the region that is true for each inequality. The solutions are all of the ordered pairs in the region that is shaded by all of the inequalities. Example: Solve by graphing x – 3y > –6
[DOCX File]Grade 6: Unit 5: Equations and Inequalities
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Inequalities may have infinite solutions and there are methods for determining if an inequality has infinite solutions using graphs and equations. Solutions of inequalities can be represented on a number line. Graphs and equations represent relationships between variables.
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