Inequalities

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Inequalities

  1. 1. Inequalities<br />August 19 and 23, 2010<br />
  2. 2. Opener<br />Give an example: <br /> {Negative numbers} is NOT closed under multiplication.<br />Solve: x2= 324<br />State the domain and range of the function : <br />
  3. 3. Section 1.6 - Inequalities<br />< less than<br />> greater than<br /> open dot<br />≤ less than or equal to<br />≥ greater than or equal to<br />closed dot<br />
  4. 4. Examples: Assume the domain is all real numbers<br />4x-7 > 1<br />
  5. 5. Examples<br />3x-5 < 2<br />
  6. 6. Examples<br />x-4 > -1 or x-4 ≤ -6<br />
  7. 7. Examples<br />4-3x > -2<br />
  8. 8. Examples<br />3 ≤ x+4 < 5<br />
  9. 9. Examples<br />|x| > 3<br />
  10. 10. Examples<br />|x-1| < 4<br />
  11. 11. Examples<br />|3x+7|≥ 7<br />
  12. 12. Exit Slip<br />5 – 3x ≥ -4<br />4 – 3x < -2<br />|5x – 3| > 22<br />|x + 3| > -6 <br />

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