Question

What is the graph of the inequality? 4x + 2y ≤ 6

Answer 1

The graph is Y= 2x + 3

Answer 2

Graph Attached.

Explanation:

Given:
`4x+2y\leq 6`

We need to draw the graph of linear inequality.

First we write inequality as equality and then make table of x and y

New equation:
`4x+2y=6`

x y

0 3

1 1

2 -1

Now, we take test point (0,0) to verify the shaded region.

`4(0)+2(y)\leq 6`

`0\leq 6`

TRUE

Now we plot the points on graph and then draw graph.

Please see the attachment for graph.