# How do you graph 3x - y < 4?

Aug 1, 2018

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#### Explanation:

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How do we graph color(red)(3x-y<4

Subtract color(blue)(3x from both sides of the inequality

$3 x - y - 3 x < 4 - 3 x$

$\cancel{3 x} - y - \cancel{3 x} < 4 - 3 x$

$- y < 4 - 3 x$

Multiply both the sides of the inequality by color(blue)((-1)

Remember to reverse the inequality.

$\left(- 1\right) \left(- y\right) > \left(- 1\right) \left(4 - 3 x\right)$

$y > - 4 + 3 x$

$y > 3 x - 4$

Now we can graph this simple inequality:

The dotted line indicates value that is NOT part of the solution.

Hope it helps.