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Translate the phrases below into inequalities and interval notation. Use the variable x for the inequalities. Phrase Inequality Interval notation at least 11 at most 11 more than 11 fewer than 11 strictly between 3 and 11 between 3 and 11, inclusive no more than 3

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Answer:

At least 11: x≥11  ; At most 11:x≤11 ; More than11: x>11 ; Fewer than 11: x<11; Strictly between 3 and 11 : 3 < x < 11  ; Between 3 and 11: 3≤x≤11  ; Inclusive no more than 3: x≤3

Step-by-step explanation:

  • At least 11:                          x≥11  

At least means that the number can't be lower than 11 (11 included)

  • At most 11:                               x≤11

At least means that the number can't be higher than 11 (11 included)

  • More than11:                                         x>11

More means that the number must be higher than 11 ( 11 not included)

  • Fewer than 11:                                    x<11

Fewer than means that the number must be lower than 11 ( 11 not included)

  • Strictly between 3 and 11 :            3 < x < 11  

"Strictly between" means excluding the endpoints

  • Between 3 and 11:                             3≤x≤11

Including endpoints.

  • Inclusive no more than 3:                   x≤3

Inclusive includes number 3 (less or equal)

Feel free to ask for more if needed or if you did not understand something.  

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