Compound Inequality Calculator with steps | Compound inequalities solver

Compound Inequality Calculator

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Our Compound Inequality Calculator is a powerful tool that can help you solve complex compound inequalities in no time. Whether you’re a student working on a math assignment or a professional solving inequalities in your work, our calculator is the perfect tool for the job.

Our calculator is designed to be user-friendly, so you can get the solutions you need without any hassle. Whether you’re working on a tough math problem or just need to solve an inequality quickly, our calculator has you covered.

Our Compound Inequality Calculator is a valuable resource for anyone working with inequalities, and it can save you time and frustration when solving complex problems.

To use our Compound Inequality Calculator, follow these steps:

  1. Enter your compound inequality into the input field. Make sure to use the logical operators “and” or “or” to separate the inequalities that make up the compound inequality, for example: 2x – 3 > 5 and 2x – 3 < 9
  2. Press the “Calculate” button to solve the inequality. The solution will be displayed automatically. The solution will also be explained step-by-step, so you can understand how the calculator arrived at the solution.

  3. If you need to solve another compound inequality, press the red button with an “x” and simply enter the new compound inequality into the input field and press the “Calculate” button again.

Remember to use the logical operators “and” or “or” to separate the inequalities that make up the compound inequality. This will help the calculator understand the structure of the inequality and provide the correct solution.

With our Compound Inequality Calculator, you can quickly and easily solve complex compound inequalities with just a few clicks.

What is a compound inequality? | Compound inequality definition

A compound inequality is a statement that combines two inequalities using logical operators, such as “and” or “or”.

Here are five examples of compound inequalities:

  • -3x + 4 > 2 and -3x + 4 < 10

  • 3x – 2 ≤ 10 and 3x – 2 > 6

  • 4x + 1 < 3 or 4x + 1 > 7

  • -5x + 3 ≤ 7 and -5x + 3 > 1

  • 2x – 4 < 6 or 2x – 4 > 10

Compound inequalities can be useful for solving real-world problems. For example, if you are trying to determine the range of ages that a certain group of people fall into, you could use a compound inequality to describe the solution set. This could be helpful in determining the target audience for a certain product or service.

How to solve compound inequalities

To solve a compound inequality, you need to first identify the type of compound inequality you are dealing with. There are two types of compound inequalities: “and” inequalities and “or” inequalities.

To solve a compound inequality, you can use the following steps:

  1. Identify the type of compound inequality you are dealing with (i.e., “and” or “or”).

  2. Solve each inequality separately.

  3. Combine the solutions to each inequality using the appropriate logical operator (i.e., “and” or “or”).

  4. Check your solution by substituting a few values of x into the inequality to make sure they satisfy the inequality.

Here is an example of how to solve a compound inequality:

3x210 and 3x2>6

3x210(Condition 1)
3x2+210+2(Add 2 to both sides)
3x12
3x
3
12
3
(Divide both sides by 3)
x4

3x2>6(Condition 2)
3x2+2>6+2(Add 2 to both sides)
3x>8
3x
3
>
8
3
(Divide both sides by 3)
x>
8
3

Solution:
x4 and x>
8
3
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