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NAME DATE PERIOD Lesson 7 Homework Practice Solving Inequalities Solve each inequality. Check your solutions. 1. 6 g + 4 2. 15 + d 10 g 10 d 5 4. 13 k (16) 3. P + (8) 12 p 4 5. 1 + s 5 k 29 6. 12
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How to fill out solve each inequality
01
To solve each inequality, we need to follow a step-by-step process. Here's how:
1.1
Start by identifying the inequality symbol: Is it greater than (>), less than (<), greater than or equal to (≥), less than or equal to (≤), or not equal to (≠)?
1.2
Next, isolate the variable on one side of the inequality. This may involve adding, subtracting, multiplying, or dividing both sides of the inequality by the same number or variable.
1.3
Make sure to perform these operations correctly, following the rules of algebra. Remember that when you multiply or divide both sides of the inequality by a negative number, the direction of the inequality symbol flips.
1.4
Simplify the inequality as much as possible, combining like terms and reducing fractions if necessary.
1.5
Now, we can graph the solution on a number line or write it in interval notation, depending on the format required.
02
Anyone who encounters inequalities in their academic or professional life may need to solve each inequality. This includes students studying algebra, calculus, or any other math-related subject. Inequalities are also commonly used in fields such as economics, finance, engineering, and science. Professionals in these fields may need to solve inequalities to analyze data, make predictions, or optimize different variables. Additionally, individuals preparing for standardized tests like the SAT, ACT, or GRE may also need to have a strong understanding of solving inequalities.
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What is solve each inequality?
Each inequality must be solved to determine the range of values that make the inequality true.
Who is required to file solve each inequality?
Anyone working on inequalities in mathematics or other fields may be required to solve them.
How to fill out solve each inequality?
To fill out an inequality, one must isolate the variable and determine the set of values that satisfy the inequality.
What is the purpose of solve each inequality?
The purpose of solving inequalities is to find the range of values that make the inequality true, and to identify solutions that satisfy the inequality.
What information must be reported on solve each inequality?
The solution set, graph of the inequality, and any restrictions on the variable must be reported on the solved inequality.
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