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Published byAdam Crawford Modified over 8 years ago

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Solving inequalities follows the same procedures as solving equations. There are a few special things to consider with inequalities: ◦ We need to look carefully at the inequality sign. ◦ We also need to graph the solution set.

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> greater than < less than greater than or equal less than or equal

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> Graph any number greater than... open circle, line to the right < Graph any number less than... open circle, line to the left Graph any number greater than or equal to... closed circle, line to the right Graph any number less than or equal to... closed circle, line to the left

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x + 4 < 7 -4 -4 x < 3 ● Subtract 4 from each side. ● Keep the same inequality sign. ● Graph the solution. Open circle, line to the left. 30

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Sometimes you may have to reverse the direction of the inequality sign!! That only happens when you multiply or divide both sides of the inequality by a negative number.

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Solve: -3y + 5 >23 -5 -5 -3y > 18 -3 -3 y < -6 ● Subtract 5 from each side. ● Divide each side by negative 3. ● Reverse the inequality sign. ● Graph the solution. Open circle, line to the left. 0-6

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3b - 2(b - 5) < 2(b + 4) 3b - 2b + 10 < 2b + 8 b + 10 < 2b + 8 -b + 10 < 8 -b < -2 b > 2 2 10

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Try the sample problems from the notes document before you begin the assignment. Make sure you check your solutions in my notebook at the desk before you begin the assignment!

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