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# Inequalities

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This presentation explains how to solve quadratic, fractional and irrational inequalities.

This presentation explains how to solve quadratic, fractional and irrational inequalities.

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Statistics
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### Transcript

• 1. InequalitiesQuadratic, Fractional andIrrational Inequalities
• 2. To solve more complicated inequalities, use the following procedure: &#x2022; Make the RHS zero by shifting all terms to the LHS. &#x2022; Fully factorise the LHS to get critical values. &#x2022; Draw sign diagram for the LHS. &#x2022; Determine the values required from the sign diagram.
• 3. Quadratic Inequalities Find the range of x formaking RHS zerofully factorise LHSfind the critical valuesdraw sign diagram -2determine thevalues
• 4. Find the range of values of x of thefollowing inequalities
• 5. Fractional Inequalities Find the range of x formaking RHS zeroSimplify the equationfind the critical valuesdraw sign diagram -3 4determine thevalues
• 6. Find the range of values of x of the following inequalities
• 7. Irrational Inequalities Find the range of x forSquare both sidesmaking RHS zeroMeeting therequirementdraw sign diagramFind commonsolution
• 8. Find the range of values of x of the following inequalities