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NAME ALGEBRA I REVIEW TEST #8 I. Solve each inequality and graph the solution on a number line. 1) y 29 35 2) x 21 3 3) 3a 243 Answers: Answer: 5) 11 m 143 6) 9 × 3 Answer: Answer: Answer: 7) 2x
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How to fill out and solve each inequality:

01
Start by identifying the inequality symbol. This symbol could be < (less than), > (greater than), ≤ (less than or equal to), or ≥ (greater than or equal to).
02
Determine the variable or unknown quantity in the inequality. This will be the value that you are trying to find or solve for.
03
Use inverse operations to isolate the variable. This means performing the opposite operation on both sides of the inequality to get the variable by itself. For example, if there is addition or subtraction involved, you can reverse it by subtracting or adding the same amount on both sides.
04
Simplify the inequality by combining like terms and following the order of operations. This will help make the expression more manageable and easier to solve.
05
Continue isolating the variable until you have a single term on one side and a constant on the other side of the inequality. This will help you determine the range of values that satisfy the inequality.
06
Graph the solution on a number line or write it in interval notation. This will visually represent the range of values that solve the inequality and help you understand the solution better.

Who needs to solve each inequality and:

01
Students studying algebra or precalculus: Inequalities are a fundamental concept in algebra and precalculus courses, and understanding how to solve them is essential for success in these subjects. Students need to solve inequalities to solve equations, graph functions, and analyze mathematical relationships.
02
Researchers and scientists: Inequalities are widely used in various scientific fields, including economics, physics, and biology. Researchers and scientists need to solve inequalities to model real-world situations, analyze data, and make predictions or conclusions.
03
Business professionals: Inequalities are often used in financial planning, budgeting, and decision-making processes. Business professionals use inequalities to optimize resources, analyze investment opportunities, and determine the feasibility of proposed projects.
Overall, anyone who needs to analyze relationships between quantities, make informed decisions based on numerical data, or model real-world situations can benefit from learning how to fill out and solve each inequality.
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Solving each inequality involves finding all possible values of the variable that make the inequality true.
Anyone working on mathematical problems involving inequalities may need to solve each inequality.
To fill out a solved inequality, one must show the solution set or graph the solution on a number line.
The purpose of solving each inequality is to determine the range of values that satisfy the given inequality.
The solution set or graph representing the values of the variable that satisfy the inequality must be reported.
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