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1.4 Solving Inequalities

1.4 Solving Inequalities. Features of Inequalities. Inequalities have more than 1 solution When you MULTIPLY or DIVIDE by a negative number you MUST flip the sign. EX 1. -2x < 3(x – 5). compound inequality : a pair of inequalities joined by AND or OR AND – BOTH are true

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1.4 Solving Inequalities

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  1. 1.4 Solving Inequalities

  2. Features of Inequalities Inequalities have more than 1 solution When you MULTIPLY or DIVIDE by a negative number you MUST flip the sign.
  3. EX 1 -2x < 3(x – 5)
  4. compound inequality: a pair of inequalities joined by AND or OR AND – BOTH are true OR – At least ONE is true
  5. EX 2 2x – 1 < 3x and x > 4x - 9
  6. EX 3 3x + 9 < -3 or -2x + 1 < 5
  7. ****Special Cases**** x > 2 OR x > 4 x > 2 AND x > 4 x > 2 OR x < 4 x < 2 AND x > 4
  8. EX 4 14 > 3x – 1 > -10
  9. EX 5
  10. EX 6 A real estate agent earns a salary of $2000 per month plus 4% of the sales. Find the sales if the salesperson is to have a monthly income of at least $5000.
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