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This document outlines a learning experience focused on teaching ninth-grade students about solving inequalities and graphing linear inequalities, including instructional tasks, assessments, and resources.
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How to fill out Solving Inequalities

01
Identify the inequality symbol (>, <, ≥, ≤).
02
Move all terms involving the variable to one side of the inequality.
03
Isolate the variable by performing inverse operations (addition/subtraction, multiplication/division).
04
If you multiply or divide by a negative number, reverse the inequality symbol.
05
Simplify the expression on both sides of the inequality.
06
Express the solution in interval notation or graph it on a number line.

Who needs Solving Inequalities?

01
Students learning algebra.
02
Mathematics teachers.
03
Professionals in fields requiring optimization.
04
Engineers solving logistical problems.
05
Economists analyzing constraints in models.
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When solving an inequality: • you can add the same quantity to each side • you can subtract the same quantity from each side • you can multiply or divide each side by the same positive quantity If you multiply or divide each side by a negative quantity, the inequality symbol must be reversed. So the solution is x > −1.
Here are the steps for solving inequalities: Step - 1: Write the inequality as an equation. Step - 2: Solve the equation for one or more values. Step - 3: Represent all the values on the number line. Step - 4: Also, represent all excluded values on the number line using open circles. Step - 5: Identify the intervals.
0:13 6:23 Three. These will cancel. And so 2x is greater than 7 - 3 which is 4 next let's divide both sides byMoreThree. These will cancel. And so 2x is greater than 7 - 3 which is 4 next let's divide both sides by 2. And so we can see that x is greater than 4 / 2 which is two and now let's plot it on the number.
Notation <less than > greater than ≤ less than or equal to ≥ greater than or equal to
Graph the "equals" line, then shade in the correct area. Rearrange the equation so "y" is on the left and everything else on the right. Plot the "y=" line (make it a solid line for y≤ or y≥, and a dashed line for y< or y>) Shade above the line for a "greater than" (y> or y≥)
When we look at inequalities, we are looking at two expressions that are “inequal” or unequal to each other, as the name suggests. This means that one equation will be larger than the other. The four basic inequalities are: less than, greater than, less than or equal to, and greater than or equal to.
When we look at inequalities, we are looking at two expressions that are “inequal” or unequal to each other, as the name suggests. This means that one equation will be larger than the other. The four basic inequalities are: less than, greater than, less than or equal to, and greater than or equal to.

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Solving inequalities involves determining the values of variables that satisfy a given inequality condition, often expressed using symbols like <, >, ≤, or ≥.
Typically, individuals or entities who need to report on conditions or constraints defined by inequalities in various fields, such as mathematics, economics, or engineering, are required to solve inequalities.
To fill out solving inequalities, identify the inequality, isolate the variable on one side, and express the solution in interval notation or as a range of values.
The purpose of solving inequalities is to find solution sets that meet certain conditions, allowing for analysis and decision-making based on constraints.
The information to be reported typically includes the inequality itself, the steps taken to solve it, and the solution set or range of valid values for the variable.
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