Question

Dolora spends at least 4 hours per week gardening. She spends more time on routine maintenance such as weeding, pruning, and watering than on harvesting vegetables or flowers. She spends at least 1 hour per week harvesting. Which system of inequalities represents Dolora’s weekly gardening time if

Answer 1

We are told that Dolora spends at least 1 hour per week harvesting

If y represents the number of weekly hours spent on harvesting

Then, y ≥ 1

We are also told that Dolora spends more time on routine garden than on harvesting.

If x represents the number of weekly hours spent on routine garden maintenance,

Then x > y

We are also told that Dolora spends at least 4 hours per week gardening (maintenance and harvesting).

Then, x + y ≥ 4

Therefore, Dolora’s weekly gardening time can be represented by this system of inequalities:

{x + y ≥ 4

{x > y

{y≥1