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What are the 5 steps to solving an inequality?

Posted on November 15, 2022 by Author

Table of Contents

  • 1 What are the 5 steps to solving an inequality?
  • 2 What is an inequality in a math equation?
  • 3 How do you change the direction of the inequalities when multiplying?
  • 4 What are some examples of inequalities?

What are the 5 steps to solving an inequality?

To solve an inequality, we can:

  1. Add the same number to both sides.
  2. Subtract the same number from both sides.
  3. Multiply both sides by the same positive number.
  4. Divide both sides by the same positive number.
  5. Multiply both sides by the same negative number and reverse the sign.

What is an inequality in a math equation?

An Inequality is a mathematical sentence that uses greater than, less than, is not equal to, etc., and solving them is very similar to how we solve equations. The solution to an equation or inequality is any number that, when plugged into the equation or inequality, will satisfy the equation or inequality.

How to solve the inequality 3A-4 less than?

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Solve the inequality. Explain all steps and identify the properties used. 3a-4 less than Solve the inequality. Explain all steps and identify the properties used. My answer: First, you add 4 to both sides: 3a – 4 + 4 <= 5 + 4. Then you get this 3a <= 9. Next I divide both sides by 3: 3a/3 <= 9/3 Tell me if this makes sense and if it’s correct.

How do you solve inequality?

To solve your inequality using the Inequality Calculator, type in your inequality like x+7>9. The inequality solver will then show you the steps to help you learn how to solve it on your own. Less Than Or Equal To Type <= for “less than or equal to”.

How do you change the direction of the inequalities when multiplying?

Because we are multiplying by a positive number, the inequalities don’t change: Now divide each part by 2 (a positive number, so again the inequalities don’t change): Now multiply each part by −1. Because we are multiplying by a negative number, the inequalities change direction . And that is the solution!

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What are some examples of inequalities?

Sometimes we need to solve Inequalities like these: Symbol Words Example > greater than x + 3 > 2 < less than 7x < 28 ≥ greater than or equal to 5 ≥ x − 1 ≤ less than or equal to 2y + 1 ≤ 7

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