Inequalities

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

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Inequalities

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

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