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In Mathematics / Middle School | 2014-06-11

The inequality \(6(x + 2) > 7(x - 5)\) is equivalent to which of the following inequalities?

A. \(x < -23\)
B. \(x < 07\)
C. \(x < 17\)
D. \(x < 37\)
E. \(x < 47\)

Asked by HangFogerson

Answer (3)

6(x+2) > 7(x-5) 6x +12>7x-35 6x-7x > -35 -12 -x > - 47 x < 47 = E

Answered by Poknoy | 2024-06-10

7(x-5)\\ \\6x+12>7x-35 \\ \\ 6x-7x >-35-12\\ \\-x>-47 \ \ /\cdot (-1)\\ \\x< 47 \\ \\Answer : \ E. \ \ x < 47"> 6 ( x + 2 ) > 7 ( x − 5 ) 6 x + 12 > 7 x − 35 6 x − 7 x > − 35 − 12 − x > − 47 / ⋅ ( − 1 ) x < 47 A n s w er : E . x < 47

Answered by Lilith | 2024-06-24

The inequality 7(x - 5)"> 6 ( x + 2 ) > 7 ( x − 5 ) simplifies to x < 47 . The correct answer is E. x < 47 .
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Answered by Lilith | 2024-12-17

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