1954 AMC 12 Problem 18

Attempt Problem 18 of the 1954 AMC 12 below, then check your answer against the professionally curated solution from LIVE by Po-Shen Loh. You can also try the full timed exam, view all 1954 AMC 12 solutions, or check the answer key.

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18.

Of the following sets, the one that includes all values of

x

which will satisfy

2x-3\gt7-x

is:

x\gt4

x\lt\dfrac{10}{3}

x=\dfrac{10}{3}

x\gt\dfrac{10}{3}

x\lt0

Collect the

x

-terms on one side and constants on the other

Adding

x+3

to both sides gives

3x\gt10

Adding

x+3

to both sides gives

3x\gt10,

x\gt\frac{10}{3}.

Thus, the correct answer is D.

Problem 18 in other years