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3 years ago

Which inequality is equivalent to 7x-2y>8?

Mathematics

2 answers:

Crank3 years ago

8 0

$7x-2y>8\\
-2y>-7x+8\\
y2y+8\\
x>\frac{2}{7}y+\frac{8}{7}$

Vanyuwa [196]3 years ago

7 0

$7x-2y > 8\\\\-2y > -7x+8\ \ \ /:(-2) < 0\ then\ change\ " > "\ to\ " < "\\\\y < 3.5x-4$

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Answer:

see attached for diagram

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a) let (-1, 3) = $(x_1,y_1)$

let (2, 1) = $(x_2, y_2)$

$\implies \sqrt{(2+1)^2+(1-3)^2} =\sqrt{13}$

b) let (-1, 3) = $(x_1,y_1)$

let (4, 1) = $(x_2, y_2)$

$\implies \sqrt{(4+1)^2+(1-3)^2} =\sqrt{29}$

c) let (-1, 3) = $(x_1,y_1)$

let (3, 3) = $(x_2, y_2)$

$\implies \sqrt{(3+1)^2+(3-3)^2} =4$

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