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The inequality below represents h, the number of hours Ellie need to work this week to earn at least $360 by the end of the month.

12h+240> 360
What is the maximum number of hours Ellie needs to work this week to earn at least $360 by the end of the month?

Answer :

Start with

[tex]12h+240>360[/tex]

Subtract 240 from both sides:

[tex]12h>120[/tex]

Divide both sides by 12:

[tex]h>10[/tex]

So, she needs to work at least 10 hours. Note that this is the minimum number of hours Ellie needs to work this week to earn at least $360 by the end of the month. This problem has no maximum: the more she works, the more she gains, so there's likely a typo in the question.

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