3 years ago

Which of the following is equivalent to 7-2(x+2) < 4-3(1 - x)?

Mathematics

1 answer:

iren [92.7K]3 years ago

5 0

Answer:

-x<-16

Step-by-step explanation:

4-3(1-x)

x=-1

7-2(x+2)

x=2

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$k:y=m_1x+b_1;\ l:y=m_2x+b_2\\\\k\ \perp\ l\iff m_1\cdot m_2=-1\\\\k\ ||\ l\iff m_1=m_2$

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$4x-5y=2\ \ \ \ |-4x\\\\-5y=-4x+2\ \ \ \ |:(-5)\\\\y=\dfrac{4}{5}x-\dfrac{2}{5}\to m_1=\dfrac{4}{5}\\\\l:y=m_2x+b\\\\k\ \prep\ l\Rightarrow\dfrac{4}{5}m_2=-1\ \ \ \ |\cdot\dfrac{5}{4}\\\\m_2=-\dfrac{5}{4}$

$l:y=-\dfrac{5}{4}x+b$

The line l is passing through point (0, 0). Substitute the coordinates of the point to the equation of a line l:

$0=-\dfrac{5}{4}\cdot0+b\to b=0$

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<h2>Answer: 5x + 4y = 0</h2>

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