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How many integers satisfy both $3 x - 2 > 2 x + 1$ and $5 x - 7$ ≤ $3 x + 13$ ?

Competition practiceAlgebra

A7
B8
C6
D10

Step-by-Step Solution

The first gives

x

> 3, the second

2 x

≤ 20, i.e.

x

≤ 10. Integers 4, 5, …, 10: seven of them.

Answer: A) 7

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