Solving InequalitiesToday’s objective:1.   I will solve simple and     compound inequalities.
Solving Inequalities●   Solving inequalities follows the same    procedures as solving equations.●   There are a few speci...
Review of Inequality Signs> greater than< less than≥ greater than or equal≤ less than or equal
How to graph the solutions > Graph any number greater than. . .      open circle, line to the right< Graph any number less...
Solve the inequality:x+4<7  -4 -4       ●Subtract 4 from each side.              ●Keep the same inequality sign.  x < 3   ...
There is one special case.●   Sometimes you may have to reverse the    direction of the inequality sign!!●   That only hap...
Example:Solve: -3y + 5 >23                  ●Subtract 5 from each side.            -5 -5         -3y > 18         -3 -3 ●D...
Try these:●   Solve 2x+3>x+5●   Answer: x > 2●   Solve - c - 11>23●   Answer: c < -34●   Solve 3(r-2)<2r+4●   Answer: x < 10
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1.6 solving inequalities

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1.6 solving inequalities

  1. 1. Solving InequalitiesToday’s objective:1. I will solve simple and compound inequalities.
  2. 2. Solving Inequalities● Solving inequalities follows the same procedures as solving equations.● There are a few special things to consider with inequalities: ● We need to look carefully at the inequality sign. ● We also need to graph the solution set.
  3. 3. Review of Inequality Signs> greater than< less than≥ greater than or equal≤ less than or equal
  4. 4. How to graph the solutions > Graph any number greater than. . . open circle, line to the right< Graph any number less than. . . open circle, line to the left≥ Graph any number greater than or equal to. . . closed circle, line to the right≤ Graph any number less than or equal to. . . closed circle, line to the left
  5. 5. Solve the inequality:x+4<7 -4 -4 ●Subtract 4 from each side. ●Keep the same inequality sign. x < 3 ●Graph the solution. • Open circle, line to the left. 0 3
  6. 6. There is one special case.● Sometimes you may have to reverse the direction of the inequality sign!!● That only happens when you multiply or divide both sides of the inequality by a negative number.
  7. 7. Example:Solve: -3y + 5 >23 ●Subtract 5 from each side. -5 -5 -3y > 18 -3 -3 ●Divide each side by negative 3. y < -6 ●Reverse the inequality sign. ●Graph the solution. •Open circle, line to the left. -6 0
  8. 8. Try these:● Solve 2x+3>x+5● Answer: x > 2● Solve - c - 11>23● Answer: c < -34● Solve 3(r-2)<2r+4● Answer: x < 10

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