What is the difference between graphing conjunctions and disjunctions

These are the compound inequalities that contains the word "or". There is really only one method to solving disjunction compound inequalities because you must solve each inequality separately.

Now do you see why this is called a disjunction? These two inequalities will not have solutions that overlap. You must always solve the two inequalities separately. Let's take a look at one more example.

Remember the rule: If you multiply or divide by a negative number, then you must reverse the inequality sign? Well, that rule still applies. Take a look.. Again, we must solve each inequality separately and then graph the solutions on the same number line.

That's our final lesson on compound inequalities. Hopefully you can now tell the difference between a conjunction using the word "and" and a disjunction using the word "or". Check out our other inequality lessons below for a thorough study of inequalities. Click here for more information on our affordable subscription options.

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The solution set is. Another way this solution set could be expressed is. Figure 1. Remember, as in the last step on the right, to switch the inequality when multiplying by a negative.

The solution set is written as. Figure 2. The intersection of these graphs is the numbers between —9 and 1, including —9 and 1. The solution set can be written as. The union of these graphs is the entire number line. That is, the solution set is all real numbers. The graph of the solution set is the entire number line see Figure 4. The intersection of these graphs contains no numbers.

That is, the solution set is the empty set,.