How do you graph the inequality 6(y+1)<-x?

May 12, 2018

graph{6(y+1)<-x [-10, 10, -5, 5]}

Explanation:

Solve for $y$.

$6 \left(y + 1\right) < - x$

$y + 1 < \frac{- x}{6}$

$y < \frac{- x}{6} - 1$

Graph a dotted line along $y = \frac{- x}{6} - 1$.
graph{y=-x/6-1 [-7, 7, -3.5, 3.5]}

Fill in according to the sign of inequality. Since it is a "less than" sign, any space below the line is shaded in.