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NAME DATE PERIOD Lesson 6 Skills Practice ! Write and Graph Inequalities Write an inequality for each sentence. 1. More than 40,000 fans attended the opening football game at the University of Florida.
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To fill out, write, and graph inequalities, follow these steps:

01
Identify the inequality symbol: Determine whether the inequality is greater than (>), less than ( 7.
02
Simplify the inequality: If possible, simplify the expressions on both sides of the inequality sign. Combine like terms, perform necessary operations, and simplify the equation as much as possible. For example, in the previous example, you could simplify it to 2x > 4.
03
Solve for the variable: Isolate the variable on one side of the inequality. Perform inverse operations to get the variable by itself. In the given example, divide both sides by 2 to solve for x, giving x > 2.
04
Graph the inequality: To graph the inequality, use an open circle or closed circle to represent the solution depending on whether the inequality is strict or inclusive. For example, since the inequality is greater than, use an open circle at x = 2 on a number line. Then, shade the region to the right of the open circle (since the numbers greater than 2 satisfy the inequality).
Anyone who needs to compare values, quantities, or expressions in a real-world context can benefit from understanding how to write and graph inequalities. From mathematicians to scientists, economists to engineers, and students to professionals, this skill is vital for making informed decisions, analyzing data, and solving various problems across different fields.
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Write and graph inequalities involve representing mathematical statements that compare two quantities using symbols such as , ≤, or ≥ and then graphing the solutions on a number line.
Students studying algebra or anyone working with mathematical models that involve inequalities may be required to write and graph inequalities.
To fill out write and graph inequalities, one must first write the mathematical inequality based on the given information and then graph the solution on a number line to represent the possible values that satisfy the inequality.
The purpose of writing and graphing inequalities is to visually represent the relationship between two quantities and identify the range of values that satisfy the given mathematical statement.
The information reported on write and graph inequalities includes the mathematical inequality, the number line representation of the inequality's solution, and any given constraints or conditions.
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