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Name: Date Topic: Solving Inequalities by Adding and Subtracting Worksheet 1 Solve: 1. X + 25 50 2. 3. 8.8 y + 5.5 4. 20 n + 18 5. Y + 55 61 6. X + 5 9 7. X 60 10 8. Y + 75 81 9. 9.5 y + 8.1 10. 4
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How to fill out solving inequalities by adding

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To solve inequalities by adding, follow these steps:

01
Identify the inequality: Determine the given inequality that needs to be solved by adding. It can be in the form of "x + a < b" or "mx + n > c", where x represents the variable, a and b are numbers, and m, n, and c are coefficients.
02
Simplify the inequality: If necessary, simplify the inequality by combining like terms and rearranging the terms to isolate the variable. For example, if you have "2x + 5 < 10", you can simplify it to "2x < 5".
03
Add the same number to both sides: To solve for x, add the same number to both sides of the inequality. Make sure to choose a number that will eliminate the coefficient of the variable on one side. For instance, if you have "2x < 5", adding 3 to both sides will give you "2x + 3 < 8".
04
Simplify the inequality further if necessary: If possible, simplify the inequality further by combining like terms and rearranging the terms. From the previous step, "2x + 3 < 8" can be simplified to "2x < 5".
05
Divide by the coefficient of the variable: Divide both sides of the inequality by the coefficient of the variable to solve for x. In the example above, dividing both sides by 2 will give you "x < 2.5".
06
Express the solution: Express the solution as an interval or in set notation, if required. In our example, the solution will be x < 2.5, which represents all the possible values of x that satisfy the inequality.
Now, who needs solving inequalities by adding? Anyone studying algebra or mathematics will likely encounter inequalities and need to solve them. Students in middle school, high school, and college may come across inequalities in various mathematical concepts or courses such as algebra, precalculus, or calculus. Additionally, professionals in fields such as economics, finance, engineering, and physics often encounter inequalities as they model and analyze real-world situations. Hence, individuals from various educational and professional backgrounds may need to solve inequalities by adding.
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Solving inequalities by adding involves adding or subtracting numbers from both sides of an inequality to find the solution set.
Anyone studying or working with inequalities in mathematics may be required to solve inequalities by adding.
To solve inequalities by adding, you must isolate the variable on one side of the inequality sign and perform the addition or subtraction operation accordingly.
The purpose of solving inequalities by adding is to determine the range of values for which the inequality holds true.
The solution set for the inequality after adding or subtracting the necessary values.
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