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Verbal Expressions for =

Verbal Expressions for =. SOLVING MULTI-STEP INEQUALITIES. TWO STEP INEQUALITIES. Solve: 2x – 3 < 13. +3 +3. 2x < 16. 2 2. x < 8. CHECK!. Verbal Expressions for =. SOLVING MULTI-STEP INEQUALITIES. TWO STEP INEQUALITIES. Solve: 5 – 3x < 20. -5 -5.

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Verbal Expressions for =

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  1. Verbal Expressions for = SOLVING MULTI-STEP INEQUALITIES TWO STEP INEQUALITIES Solve: 2x – 3 < 13 +3 +3 2x < 16 2 2 x < 8 CHECK!

  2. Verbal Expressions for = SOLVING MULTI-STEP INEQUALITIES TWO STEP INEQUALITIES Solve: 5 – 3x < 20 -5 -5 -3x < 15 DING! -3 -3 x > -5 CHECK!

  3. Verbal Expressions for = SOLVING MULTI-STEP INEQUALITIES Solve: 5(x – 3) + 2 < 12 5x – 15 + 2 < 12 5x – 13 < 12 +13 +13 5x < 25 5 5 x <5 CHECK!

  4. Verbal Expressions for = SOLVING MULTI-STEP INEQUALITIES Solve: 5 + 3(7 – x) > 32 5 + 21 – 3x > 32 26 – 3x > 32 -26 -26 -3x > 6 DING! -3 -3 x <-2 CHECK!

  5. SOLVING COMPOUND INEQUALITIES Graph the solution sets for: x < 2 or x > 7 7 2 x < 2 and x > 7 NO SOLUTION 7 2 x > 2 and x < 7 7 2 x > 2 or x < 7 ALL REALS 7 2

  6. SOLVING COMPOUND INEQUALITIES A compound inequality containing “and” is true only if both inequalities are true. So, the graph of a compound inequality containing “and” is the INTERSECTION of the graphs of the two inequalities.

  7. SOLVING COMPOUND INEQUALITIES Solve and graph the solution set: x + 5 > 2 and x - 3 < 7 +3 +3 -5 -5 x > -3 and x < 10 10 -3

  8. SOLVING COMPOUND INEQUALITIES Solve and graph the solution set: 6 < x + 2 < 12 -2 -2 -2 4 < x < 10 10 4

  9. SOLVING COMPOUND INEQUALITIES A compound inequality containing “or” is true only if one or more of the inequalities is true. So, the graph of a compound inequality containing “or” is the UNION of the graphs of the two inequalities.

  10. SOLVING COMPOUND INEQUALITIES Solve and graph the solution set: 2x – 3 < 7 or 3 – x < -8 +3 +3 -3 -3 2x < 10 or -x < -11 DING! 2 2 -1 -1 x < 5 or x > 11 11 5

  11. SOLVING COMPOUND INEQUALITIES Try These: Solve and graph the solution set: 10 < x + 3 < 22 -3 -3 -3 7 < x < 19 19 7

  12. SOLVING COMPOUND INEQUALITIES Try These: Solve and graph the solution set: 2x + 3 < 9 or 5 – x < -2 -3 -3 -5 -5 or 2x < 6 -x < -7 “ding” 2 2 -1 -1 x < 3 or x > 7 7 3

  13. SOLVING COMPOUND INEQUALITIES Try These: Solve and graph the solution set: x + 6 > 2 and x - 8 < 7 -6 -6 +8 +8 x > -4 and x < 15 15 -4

  14. SOLVING COMPOUND INEQUALITIES Try These: Solve and graph the solution set: 3x > 9 or x + 6 < 7 3 3 -6 -6 x > 3 or x < 1 3 1

  15. -6 -2 2 4 6 -4 0 SOLVING COMPOUND INEQUALITIES Working backwards: Write the compound inequality for the following graphs: x > -2 and x < 4 OR -2 < x < 4

  16. -6 -2 2 4 6 -4 0 SOLVING COMPOUND INEQUALITIES Working backwards: Write the compound inequality for the following graphs: x < 1 or x > 3

  17. -6 -2 2 4 6 -4 0 SOLVING COMPOUND INEQUALITIES Working backwards: Write the compound inequality for the following graphs: -2 < x < 4 x > -2 and x < 4

  18. -6 -2 2 4 6 -4 0 SOLVING COMPOUND INEQUALITIES Working backwards: Write the compound inequality for the following graphs: x < -4 or x > 4

  19. -6 -2 2 4 6 -4 0 SOLVING COMPOUND INEQUALITIES Working backwards: Write the compound inequality for the following graphs: 0 < x < 1 x > 0 and x < 1

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