Question

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

A) y> 7/2x+8
b) y>-2/7x+8/7
c) y <7/2x-4
d) y <-2/7x-4/7

(whats a Inequality? )

Answer 1

`7x-2y> 8 \ \ -7x \\ \\7x -7x-2y> 8 -7x \\ \\ -2y >8-7x \ \ / : (-2)\\ \\(-2)/(-2)\cdot y < (8)/((-2))-(7)/((-2))x \\ \\ y < (7)/( 2)x -4 \\ \\ \\  Answer : \ c) \ y < (7)/(2)x-4`



`If \ we \ multiply \ or \ divide \ both \ sides \ of \ an \ inequality \ by \ a \ negative \\ \\number \ we \ have \ to \ switch \ the \ direction \ of \ the \ inequality`