October 8th October 8th Solving Compound InequalitiesAfter studying this lesson, you will be able to:
Compound inequalities are two inequalities considered together. A compound inequality containing the word and is true only if both inequalities are true. This type of compound inequality is called a conjunction. Get a PDF of similar solved problems sent to you! Examples of conjunctions: x > 5 and x <1 y < 3 and y > 3 A compound inequality containing the word or is true if either of the inequalities is true. This type of compound inequality is called a disjunction. Examples of disjunctions: x > 5 or x > 1 y < 3 or y > 3
Example 1
Therefore, our answer is y> 3 or y <3 (this means that y can be any number since all numbers are either greater than 3 or less than positive 3) Algebra Buster software can easily solve any algebra problem including compound inequalities such as this one. See how Algebra Buster solves a similar problem
Example 2
Therefore, our answer is x < 3 and x > 3 (this means that x must be some number between 3 and 3 ) Algebra Buster software will show you all the steps and explanations if you need them. Here are some examples. Our software actually helps you learn Algebra so there is no need to hire an expensive tutor.
Example 3
Therefore, our answer is m < 2 and m> 1 (this means that x must be some number between 1 and 2 )
Example 4
2 < 3x + 2 is the first inequality 3x + 2 < 14 is the second inequality Now, we solve the way we did in Examples 1 3: 2 < 3x + 2 and 3x + 2 < 14
Therefore, our answer is x> 0 and x <4 or we can write it 0 < x < 4 (this means that x must be some number between 0 and 4 ) Buy and download Algebra Buster now and you will also receive 30 minutes of free live tutoring from tutor.com!

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