How do you graph the inequality y - 3>2(x+1)?

Oct 20, 2015

Refer to the explanation.

Explanation:

$y - 3 > 2 \left(x + 1\right)$

Solve for $y$.

Distribute the $2$ on the right side.

$y - 3 > 2 x + 2$

Add $3$ to both sides.

$y > 2 x + 5$

The slope is $2$ and the y-intercept is $5$.

Determine two points on the line. Plot the points and draw a straight dashed line through the points to indicate that the line is not part of the inequality. Then shade in the area above the line.

$x = - \frac{5}{2} ,$ $y = 0$

$x = 0 ,$ $y = 5$

graph{y>2x+5 [-10.48, 9.52, -1.78, 8.22]}