Question

Student can work no more than 23 hours

per week.
2. The tutoring center requires that each
tutor spend at least two hours per week
tutoring.
3. The tutoring center requires that each
tutor spend no more than seven hours pers
week tutoring.

Answer 1

ae need inequalities

#1

No more than means maximum

• h≤23

#2

At least means minimum

• h≥2

#3

No more than is maximum

h≤7

Answer 2

See below ~

Explanation:

We need to represent the situations as inequalities.

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Students can work no more than 23 hours per week

⇒ Let the hours per week be x

⇒ 'no more than' refers to less than or equal to (≤)

⇒ x ≤ 23

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Tutors are required to spend at least 2 hours per week

⇒ At least refers to greater than or equal to (≥)

⇒ x ≥ 2

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Tutors should spend no more than 7 hours per week

⇒ As mentioned before, no more than refers to less than or equal to (≤)

⇒ x ≤ 7