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disa [49]
3 years ago
14

Which inequality has no solution?

Mathematics
2 answers:
stepladder [879]3 years ago
8 0

Answer:

Second option: 3 + 4 x\leq 2 (1 + 2x)

Step-by-step explanation:

Let's solve for "x" from each inequality:

a.\ 6 (x + 2)>x-3\\\\6x+12>x-3\\\\6x-x>-3-12\\\\5x>-15\\\\x>\frac{-15}{5}\\\\x>-3

b.\ 3 + 4 x\leq 2 (1 + 2x)\\\\3+4x\leq 2+4x\\\\3-2\leq 4x-4x\\\\1\leq 0\  (FALSE.\ IT\ HAS\ NO\ SOLUTION)

c.\ -2 (x + 6)

d.\ x-9

jarptica [38.1K]3 years ago
8 0

Answer:

second choice

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vfiekz [6]
\bf \begin{array}{lccclll}
&quantity(L)&concentration&
\begin{array}{llll}
concentrated\\
quantity
\end{array}\\
&-----&-------&-------\\
\textit{15\% juice}&x&0.15&0.15x\\
\textit{10\% juice}&y&0.10&0.10y\\
-----&-----&-----&-----\\
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\end{array}

whatever the amounts of "x" and "y" are, they must add up to 5Liters
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and whatever the concentrated quantity is in each, they must add up to (5)(0.14)

notice, that we use the decimal notation for the amount of juice concentration, that is, 15% is just 15/100 or 0.15, and 14% is just 14/100 or 0.14 and so on, recall that "whatever% of something" is just (whatever/100)*something

thus    \bf \begin{cases}
x+y=5\implies \boxed{y}=5-x\\\\
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----------\\
0.15x+0.10\left(\boxed{5-x}  \right)=(5)(0.14)
\end{cases}

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Read 2 more answers
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