Question 1065579
Let {{{X}}} be the hours you work at the store, {{{Y}}} the hours you teach lessons,{{{P}}} is your weekly pay.
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Hours at the store,
{{{X>=8}}}
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Total hours,
{{{X+Y<=20}}}
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Pay requirement,
{{{P=10X+15Y}}}
{{{10X+15Y>=120}}}
{{{2X+3Y>=24}}}
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Plot all three to find the acceptable region.
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*[illustration af14.JPG].
Here it is marked with the red hash,
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As you can see 8 hours at the store and 1 hour teaching lessons is outside of your solution region so it will not work to satisfy all of your conditions.