1954 AHSME Problems/Problem 18

Problem 18

Of the following sets, the one that includes all values of $x$ which will satisfy $2x - 3 > 7 - x$ is:

$\textbf{(A)}\ x > 4 \qquad \textbf{(B)}\ x < \frac {10}{3} \qquad \textbf{(C)}\ x = \frac {10}{3} \qquad \textbf{(D)}\ x >\frac{10}{3}\qquad\textbf{(E)}\ x < 0$

Solution

$2x-3>7-x\implies 3x>10\implies \boxed{x>\frac{10}{3} (\textbf{D})}$ .

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1954 AHSME Problems/Problem 18

Problem 18

Solution