Competition problem — Algebra — Maths Olympiad Prep

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Algebra Difficulty 1.8 Junior Find the answer

Of the following sets, the one that includes all values of $x$ which will satisfy $2x - 3 > 7 - x$ is:
$\textbf{(A)}\ x > 4$ $\textbf{(B)}\ x \frac{10}{3}$ $\textbf{(E)}\ x < 0$

Your answer

Multiple choice: answer with the letter of the option you want.

Solution

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

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