How To Use Set Notation For Inequalities Complete Guide

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how to use set notation for inequalities. Subtract 1 1 from both sides of the inequality. Lets look at some examples of how to write inequalities in interval notation.

Math 99 Set Notation And Interval Notation Simple Rule That Is Essential To Remember Set Notation Notations Absolute Value Inequalities
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To combine two intervals using inequality notation or set-builder notation we use the word or As we saw in earlier examples we use the union symbol displaystyle cup to combine two unconnected intervals. You can express the interval using what is called Interval NotationThis is in fact the most common way to describe a set of values for x since it is a very efficient way of conveying the information and will be the notation used the most often. Write the set of all real numbers strictly between -2 and in interval notation and in set notation.

3 3 Any real number less than 3 in the shaded region on the number line will satisfy at least one of the two given inequalities.

Move all terms not containing x x to the right side of the inequality. Move all terms not containing x x to the right side of the inequality. You will notice that the numbers and symbols in interval notation are written in the same order as a number line. X 1 7 x 1 - 7.