3.4 Solving Inequalities with Addition and Subtraction

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3.4 Solving Inequalities with Addition and
Subtraction
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Inequality

• Two expressions with an inequality symbol between
  them.
• THEY ARE NOT EQUAL!

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Inequality Symbols

• x lt 2
• x 3
• x gt -4
• x -1

• x is less than 2
• x is less than or equal to 3
• x is greater than -4
• x is greater than or equal to -1

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Write an inequality that represents the verbal
sentence.

• Three plus a number is less than or equal to
  five.
• 3 x 5
• Negative four minus a number is greater than
  negative ten.
• -4 - x gt -10

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Graphing an Inequality

• x lt 5

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Graphing an Inequality

• x 4

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Graphing an Inequality

• x -3

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Solving an Inequality

• x 3 gt 5
• -3 -3
• x gt 2

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Solving an Inequality

• 10 x 13
• -13 -13
• -3 x

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Rules for Graphing an Inequality

1. Solve if necessary
2. Place circle on the number
3. Shade circle if can be equal to
4. Point arrow in the direction of possible x values