How do you graph the inequality 2x + y ≤ 4?

Solution:

Given, the equation inequality is 2x + y ≤ 4.

We have to graph the inequality.

To find the boundary line for the inequality, we have to solve for two points as an equation instead of an inequality.

For x = 0,

2(0) + y = 4

y = 4

For x = 2,

2(2) + y = 4

4 + y = 4

y = 4 - 4

y = 0

Now graph the points (0, 4) and (2, 0) on the coordinate plane and draw a line through the points to mark the boundary of the inequality.

The boundary line of the graph will be solid because the inequality operator contains an ‘’equal to’’ clause and the left side if the line is shaded.

Therefore, the graph of the inequality is shown above.

Summary:

The graph of inequality 2x + y ≤ 4 is shown above.

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