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Nov 16, 2022 · Example 1 Show that each of the following numbers are solutions to the given equation or inequality. x = 3 x = 3 in x2 −9 = 0 x 2 − 9 = 0. y = 8 y = 8 in 3(y+1) =4y−5 3 ( y + 1) = 4 y − 5. z = 1 z = 1 in 2(z−5) ≤ 4z 2 ( z − 5) ≤ 4 z. z = −5 z = − 5 in 2(z−5) ≤ 4z 2 ( z − 5) ≤ 4 z.
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Section 2.1 : Solutions and Solution Sets. For each of the...
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Sep 17, 2022 · The above examples show us the following pattern: when there is one free variable in a consistent matrix equation, the solution set is a line, and when there are two free variables, the solution set is a plane, etc.
Example(The solution set is a line) In the above example, the solution set was all vectors of the form. x = R x 1 x 2 S = x 2 R 3 1 S + R − 3 0 S. where x 2 is any scalar. The vector p = A − 3 0 B is also a solution of Ax = b : take x 2 = 0. We call p a particular solution.
Example Questions. College Algebra Help » Solving Equations and Inequallities » Solutions and Solution Sets. Example Question #1 : Solving Non Quadratic Polynomials. Give all real solutions of the following equation: x4 + 5x2 − 36 = 0. Possible Answers: {−3, 3} {−3, −2} {−3, −2, 2, 3} {−2, 2} {2, 3} Correct answer: {−2, 2} Explanation:
To solve an equation means to find the solution set for that equation. One can describe a solution set in any of the following ways: In Words: a 2 = 25 has solutions 5 and -5. (That is, a 2 = 25 is true when a = 5 or a = -5.) In Set Notation: The solution set of a 2 = 25 is {5, -5}.
equation. ordered pairs. Background Tutorials. Sets and Number Lines. What's a Set? This tutorial will help you understand what a set is, and the different kinds of sets that you may see when you're working on algebra problems :) Graphing in the Coordinate Plane. What is an Ordered Pair? Ordered pairs are a fundamental part of graphing.