Leah would like to earn at least $120 per month. She babysits for $5 per hour and
works at an ice cream shop for $8 per hour. Leah cannot work more than a total of
20 hours per month. Let x represent the number of hours Leah babysits and let y
represent the number of hours Leah works at the ice cream shop.

The system of inequalities that represents the given situation:

Solution:

Given that,

Let x represent the number of hours Leah babysits

Let y  represent the number of hours Leah works at the ice cream shop

Given that,

Leah cannot work more than a total of  20 hours per month

Therefore,

Here we used "less than or equal to" symbol, since she cannot work more than 20 hours

Babysits = $5 per hour

Ice cream shop = $8 per hour

Leah would like to earn at least $120 per month

Thus a inequality is framed as:

Here, we used "greater than or equal to" symbol, since she wants to earn at least $ 120

Thus eqn 1 and eqn 2 are the system of inequalities that represents the given situation

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