Solving OneStep Inequalities

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Solving One-Step Inequalities
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Solving One-Step Inequalities
Objective To solve one-step
inequalities using properties for
inequalities
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Solving One-Step Inequalities
What are the Properties
for Inequalities? Are they the same as for
regular equations?
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Solving One-Step Inequalities
Addition Property for Inequalities
X-15lt73
X-1515lt7315
Add 15 to both sides
Xlt88
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Solving One-Step Inequalities
Subtraction Property for Inequalities
y15lt25
Y15-15lt25-15
Subtract 15 from both sides
ylt10
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Solving One-Step Inequalities
Multiplication Property for Inequalities
Multiply both sides by the reciprocal of the
coefficient
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Solving One-Step Inequalities
Division Property for Inequalities
Divide both sides by the coefficient of x
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Division Property for Inequalities
Caution! Dividing by a negative number
Same if multiplying?
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Multiplication Property for Inequalities
Caution! When you multiply by a negative number
YES!
-x gt 2 5
x lt -10
(-5 )-x gt 2(-5) 1 5
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Solving One-Step Inequalities
Lets try some on our own ready?
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Solving One-Step Inequalities
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Solving One-Step Inequalities
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Solving One-Step Inequalities
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Solving One-Step Inequalities
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Answers for 1 - 4

• x 1
• 8 x or x 8
• x 5
• x gt 4

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Solving One-Step Inequalities
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Solving One-Step Inequalities
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Solving One-Step Inequalities
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Solving One-Step Inequalities
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Answers for 5 - 8

• 5. x -6
• 6. 21 lt x or x gt 21
• 7. x 2
• 8. x gt 15

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Please take out a piece of paper and write down
what the steps are for solving a one-step
inequality
Reflection
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Solving One-Step Inequalities
Excellent Job !!! Well Done