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[DOC File]Solving Inequalities
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Solve the following inequalities and graph the solution on the number line. 9. -15c – 28 > 152 10. 4x – x + 8 ≤ 35. 11. 2x – 3 > 2(x-5) 12. 7x + 6 ≤ 7(x – 4) Practice: Solving Compound Inequalities (and/or) Solve the following compound inequalities and graph the solution on the number line. 13.
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[DOC File]Linear Equations
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The interval notation of this solution is (0 , U (-1/3, 0). A COMMON MISTAKE TO AVOID! Students often get to the equation x2(3x + 1) = 0 and then divide both sides by x2 and solve . 3x + 1 = 0, thus losing the zero solution. Whenever you divide both sides of an algebraic equation by x or a power of x, you incorrectly lose the zero solution.
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[DOC File]Algebra 2
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In #17-21 odds: Solve the equation in the interval: : 17) 19) 21) In #24-26: Find the general solution: 24) 25) 26) In #30-31: Solve the equation in the given interval: (Hint: Set equal to zero and factor.) 30) 31) Title: Algebra 2 Author: Rochester Community Schools Last modified by: Donelko, Stephanie ...
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[DOC File]Chapter 1 Equations and Inequalities
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Definition 1 An equation in one variable is a statement in which two expressions, at least one containing the variable, are equal. Example 1 Solve the equation. Definition 2 A linear equation in one variable is an equation that can be written in the form , where a and b are real numbers and a ≠ 0.
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Verifying Absolute Value Interval Inequalities Solved by ...
Then solve the interval for x. 5. Reminder: Solve this inequality by rewriting as two inequalities: OR . Then solve each inequality separately for x. Both inequalities are true. Graphing the solutions (#s 1-5) # 1 To graph, algebraically set the inequality equal to zero by subtracting 4 from both sides of the inequality. Can be represented as ...
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[DOC File]Name:____________________ Math 0310 Activity 1
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Solve the equation . Solve the following quadratic-like equations.(8-9) 8. 9. Solve the following absolute value equations.(10-11) 10. 11. Solve the following absolute value inequalities, and express the solution using interval notation, if possible.(12-13) 12. 13. 14. Evaluate the …
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[DOC File]Algebra 2
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Name: _____ No Calculator may be used. Show all work for credit. 1) Verify that the given x-value is a solution of the equation:
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[DOC File]Chapter 3: Linear Equations & Inequalities in 2 Variables
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Example: Solve, graph and give interval notation. a) 3x ( 2 ( 5 b) 0 ( 4x ( 7 ( 9 Determining if an ordered pair is the solution set to a linear inequality is just like determining if it is a solution set to linear equality; we must evaluate the inequality at the ordered pair and see if it is a true statement. ... Step 1: Solve the equation …
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[DOC File]Equations Involving More Than One Function
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If the equation involves different functions, separate the functions by factoring of possible, or use identities to express different functions in terms of the same function. Example 4: Find all values of θ in the interval that satisfy the equation . Example 5: Solve for θ in the interval when . H:\Equations Involving More Than One Function.doc
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[DOC File]Solution of the Diffusion Equation
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The same process that was used to solve equation [1] can be applied to equation [62] to obtain the following solution. [63] The constants in equation [63] are given by the following equation. ... (1/r)sin(n r/R) form a complete set of orthogonal eigenfunctions in the interval 0 ≤ r ≤ R; however, the Sturm-Liouville problem defined in ...
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Solve equation on interval