Question

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

Answer 1

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

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.