# How to find the solution set

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## ACT Math : How to find a solution set Solving Linear Inequalities, Graphing on a Number Line, Absolute Value & Fractions

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In other words, they make the right and left sides of the equation equal to each other. Depending on the type of equation you're dealing with, the solution set might be a few points or a line, or it might also be an inequality — all of which you can graph once you've identified two or more points in the solution set. Identifying the solution set of an equation usually involves three steps: First, you solve the equation for one variable in terms of the other; the convention is to solve for y in terms of x. Next, you identify which x values can be part of your solution set. And finally, you substitute x values into the equation to find the corresponding y values. If you've been asked to graph your solution set, you don't have to find every single point in it. You only need enough to define the line formed by the solution set.

Example Questions. Algebra 1 Help» Equations / Inequalities» Systems of Equations» Equations / Solution Sets» How to find a solution set.
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Move one radical to the other side, then square, thereby yielding an equation with only one radical. If the area of a rectangle is square feet and the width is 20 feet, then what is the perimeter? The area of a rectangle is , where A is the area, L is the length, and W is the width. The perimeter is given by. Equation

First, simplify the equation so the absolute value is all that remains on the left side of the equation:. When you divide a number by 3 and then add 2, the result is the same as when you multiply the same number by 2 then subtract What is the number? Now we need to factor the binomial. We need to find two numbers that will mutiply to give us We also need these two numers to equal -1 when we add them, because -1 is the coefficient of the x term. Now we can rewrite the equation as follows:.

By using our site, you acknowledge that you have read and understand our Cookie Policy , Privacy Policy , and our Terms of Service. Mathematics Stack Exchange is a question and answer site for people studying math at any level and professionals in related fields. It only takes a minute to sign up. A Find the solution set to the corresponding homogeneous system of equations, with all variables written in terms of free variables. So my first question is do I set up the augmented matrix with each equation equal to 0 to find the homogeneous solution or do I set it up how it is given? This is what I have of far but at this point I'm stuck The fact that you give the general solution of the original system has no correlation with the question "solve the corresponding homogeneous system".

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## How Do You Find a Solution Set When You Have A Replacement Set?

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. The replacement set is the set of values that may be substituted for the variable. To find the solution set from the replacement set, plug in each value from the.
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## 5 thoughts on “How to find the solution set”

1. Gilbert L. on said:

We will start off this chapter with a fairly short section with some basic terminology that we use on a fairly regular basis in solving equations and inequalities.

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Example Questions. ACT Math Help» Algebra» Equations / Inequalities» Solution Sets» How to find a solution set. Find A Solution Set: Example Question #1.

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