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IrinaK [193]
4 years ago
12

3(3x+2)<8(x+2)<6(5x-12) =

Mathematics
2 answers:
iren [92.7K]4 years ago
8 0
3(3x+2) < 8(x+2) < 6(5x-12)\\\\9x+6 < 8x+16 < 30x-72\\\\\#1\\9x+6 < 8x+16\ \ \ \ \ |subtract\ 6\ from\ both\ sides\\9x < 8x+10\ \ \  \ \ \ \ |subtract\ 8x\ from\ both\ sides\\x < 10\\\\\#2\\8x+16< 30x-72\ \ \ \ \ \ \ \ |subtract\ 16\ from\ both\ sides\\8x < 30x-88\ \ \  \ \ \ \  \ \ |subtract\ 30x\ from\ both\ sides\\-22x < -88\\22x > 88\ \ \ \ \ \ \ \ \ |divide\ both\ sides\ by\ 22\\x > 4\\\\From\ \#1\ \cap\ \#2\ we\ have\ 4 < x < 10\Rightarrow x\in(4;\ 10)
kolezko [41]4 years ago
7 0
3(3x+2) < 8x + 16 => x < 10 
8x + 16 < 30x - 72  => 22x > 88 => x > 4
solution is  4  < x < 10
 
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Step-by-step explanation:

<em>The number line is not given. However, the question can be solved without it.</em>

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7 0
3 years ago
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6 0
3 years ago
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Vilka [71]
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3 years ago
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5 0
3 years ago
6 1⁄3 + 7 1⁄4 – 2 1⁄2 =
Korvikt [17]

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11 1/12

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6 1/3 = 19/3

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We must find the LCM of 3, 4, and 2. This happens to be 12

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163 - 30 = 133

133/12

Simplify

133/12 = 11.0833... or 11 1/12


Hope this helps.

6 0
3 years ago
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