Practice Problem <ul><li>4 – 5x/7 = x – 2 </li></ul>
Practice Problem <ul><li>8 + c/9 = 2(c/3 – 1) </li></ul>
Practice Problem <ul><li>At 10 a.m., a freight train leaves Chicago for Denver traveling at an average speed of 60 miles p...
SOLVING AX + B < CX + D Linear Inequalities
Solve and Check <ul><li>6 – 9x    5x -1  5a + 7 < 2a + 13 </li></ul>
Example <ul><li>Three times a number is less than two times the same number.  Find the number. </li></ul>
Example: Some years ago, the Mosley family planted two trees - a beech tree that was 12 feet tall and grew at a rate of ½ ...
5-Minute Check <ul><li>What is the purpose of solving inequalities? </li></ul><ul><li>What is the objective in solving ine...
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Linear Inequalities 2

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Linear Inequalities 2

  1. 1. Practice Problem <ul><li>4 – 5x/7 = x – 2 </li></ul>
  2. 2. Practice Problem <ul><li>8 + c/9 = 2(c/3 – 1) </li></ul>
  3. 3. Practice Problem <ul><li>At 10 a.m., a freight train leaves Chicago for Denver traveling at an average speed of 60 miles per hour. Two hours later, a high speed passenger train leaves Chicago for Denver traveling at an average speed of 150 miles per hour. </li></ul><ul><li>After how many hours will the passenger train overtake the freight train? </li></ul><ul><li>What time will it be? </li></ul>
  4. 4. SOLVING AX + B < CX + D Linear Inequalities
  5. 5. Solve and Check <ul><li>6 – 9x  5x -1 5a + 7 < 2a + 13 </li></ul>
  6. 6. Example <ul><li>Three times a number is less than two times the same number. Find the number. </li></ul>
  7. 7. Example: Some years ago, the Mosley family planted two trees - a beech tree that was 12 feet tall and grew at a rate of ½ ft/yr and a maple tree that was 4 feet tall and grew at a rate of 1 ft/yr. Today, the maple is taller than the beech. Recently, Mr. Mosley found an old photograph that showed the beech tree was taller than the maple. He wondered when the photo was taken. Find the possible years that would make this true.
  8. 8. 5-Minute Check <ul><li>What is the purpose of solving inequalities? </li></ul><ul><li>What is the objective in solving inequalities? </li></ul><ul><li>How can you isolate the variable in the following example? </li></ul><ul><li>-2n -16  9n + 17 </li></ul>

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