Help me with question

Question

Graph the following inequality x+4y > 4

Answer 1

4y > -x + 4

y > (-1/4)x + 1

Hopefully you know how to graph the line. It will be dotted because it's not "our equal to." Everything above the line will be shaded.

To make sure you did it right, pick any point in the shaded region, insert x and y, and make sure it makes the equation true. You'll notice that picking a point on the line doesn't work, which is why it's dotted, but we have to mark our boundary.

Answer 2

Hi Tamika,

To graph this inequality, you would first rearrange the equation into something that looks more like y= mx +b format:

1. x+4y>4 (original inequality)

2. 4y>4-x (subtract x from both sides to isolate variables)

3. y>1-(x/4) (divide both sides by 4)

Graph the line y=1-(x/4) with a dotted line, then shade the area above the line, indicating that y is greater than 1-(x/4)

The dotted line is because y is only greater than the equation, not greater than or equal to.

See this Desmos graph to check your answer https://www.desmos.com/calculator/froazck4rq

Hope this helped!