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Please help and tell me how to do so!

Please help and tell me how to do so!-example-1

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75 <(x-2)/(3) < 76\qquad|\text{multiply both sides by }\ (1)/(2)\ \text{(divide by 2)}\\\\(1)/(2)\cdot75 < (1)/(2)\cdot(x-2)/(3) < (1)/(2)\cdot76\\\\37.5 < (x-2)/(6) < 38\\\\Answer:\ C.\ 37(2)/(3)\ \text{because}\ 37.5 < 37(2)/(3)=37.\overline{6} < 38

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