Question

Which graph represents the inequalities.2x+y>4. i attatched the graphs below.

Answer 1

Explanations:

According to the given question, you are to find the graph that represents the inequality 2x+y>4.

First, we need to find the x and y-intercept of the line.

For x-intercept

x-intercept occurs at the point where y = 0.

`\begin{gathered} 2x+y=4 \\ 2x+0=4 \\ 2x=4 \\ x=2 \end{gathered}`

Hence the x-intercept occur at (2, 0)

For the y-intercept

y-intercept occurs at the point where x = 0

`\begin{gathered} 2(0)+y=4 \\ y=4 \end{gathered}`

Hence the y-intercept s at (0, 4)

To get the correct graph, we will look at the line that has an x-intercept at (2, 0) and y-inercept at (0, 4)