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Review of Inequalities

Review of Inequalities. Less than/ Greater than. Less than or equal to/ Greater than or equal to. Represented with a closed circle on a number line. Includes the value. Represented with an open circle on a number line. Does not include the value.

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Review of Inequalities

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  1. Review of Inequalities Less than/ Greater than Less than or equal to/ Greater than or equal to Represented with a closed circle on a number line. Includes the value. Represented with an open circle on a number line. Does not include the value

  2. Solving Absolute Value Inequalities “LESS THAN” 1. Rewrite with a (-) sign on the left. Use another “less than” sign. 2. Solve for x on all three sides at once! 3. Graph your answer on a number line. X is “in between” the two numbers

  3. Solving Absolute Value Inequalities “GREATOR THAN” KEEP first equation the same CHANGE to a negative FLIP the inequality OR OR OR Like oars on a boat!

  4. Ex: Isolate the absolute value first! Put -3 on the other side, draw a less than sign Solve X is “in between” the two numbers

  5. Ex:2 Isolate the absolute value first! Great OR than: 2 equations! OR OR Like oars on a boat!

  6. When things get weird… When will an absolute value be BIGGER than a negative number? When will an abs value be SMALLER than a negative number? When will an abs value EQUAL a negative number? Every time! Never! Never!

  7. Practice

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