Solving Inequalities by adding or subtracting, checking the inequality

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Solving Inequalities by adding or subtracting,
checking the inequality graphing it!!
This is so easy you wont even need one of
these!!!
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Solving the inequality

• You are going to solve the inequality just like
  you solve two step equations!!
• Add or subtract a number from both sides of the
  inequality.

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Example

• 1. n 8 lt 15
• 8 8 ? add 8 to both sides
• n lt 23
• 2. -4 a 7
• -7 - 7 ? subtract 7 from both
  sides
• -11 a

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Do we have to do the check?
ABSOLUTELY

• Lets check the answers to our examples!
• n 8 lt 15 ? n lt 23
• What are some possible solutions?
• -Anything smaller than 23, lets try 22!
• n 8 lt 15
• 22 8 lt 15
• 14 lt 15

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Do we have to do the check?
ABSOLUTELY

• Lets check the answers to our examples!
• 2. -4 a 7 ? -11 a
• What are some possible solutions?
• -Anything smaller than -11, lets try -12!
• -4 a 7
• -4 -12 7
• -4 -5

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Then we have to graph it!

• Lets graph the answers to our examples!
• 1. n 8 lt 15 ? n lt 23
• 2. -4 a 7 ? -11 a

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Your turn!! Solve it, check it, graph it (in
this order).

• 1. w 5 lt 6 2. x 3 lt 2
• 3. -1 y 8 4. z 1 6