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36 votes
Hi I need help please :) also option D: Ellis can buy 7 gallons of gasoline, but not 8 gallons

Hi I need help please :) also option D: Ellis can buy 7 gallons of gasoline, but not-example-1
User Gutemberg Ribeiro
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1 Answer

13 votes
13 votes

In order to find the true statement, first let's solve the inequality for g:


\begin{gathered} 4.5g+6\le40 \\ 4.5g\le40-6 \\ 4.5g\le34 \\ g\le(34)/(4.5) \\ g\le7.56 \end{gathered}

We found that the number of gallons needs to be smaller than 7.56.

If we consider only whole numbers of gallons, Ellis can buy 7 gallons, but not 8 gallons.

Therefore the correct option is D.

User Cascadox
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