How do you graph this linear inequality #x + 2y

Question

How do you graph this linear inequality #x + 2y<= 5#?

Hazel Anglin · Accepted Answer

I would plot it as a normal line and then choose the area below the line as:

Ethan Adkins · Answer

undefined To graph the linear inequality $x + 2y \leq 5$, follow these steps:

1. First, graph the boundary line $x + 2y = 5$.
2. To graph the boundary line, find two points that satisfy the equation.
3. Let's choose $x = 0$, then $2y = 5$, so $y = 2.5$. One point is (0, 2.5).
4. Let's choose $y = 0$, then $x = 5$. Another point is (5, 0).
5. Plot these two points and draw a straight line passing through them. This line represents the boundary of the inequality.
6. Since the inequality is $\leq$, we need to determine which side of the line to shade.
7. To determine the shading, pick a test point not on the boundary line. The origin (0,0) is a convenient choice.
8. Substitute the coordinates of the test point into the original inequality: $0 + 2(0) \leq 5$.
9. Simplify to determine if the inequality is true or false. In this case, it's true.
10. Shade the region containing the test point. If the inequality were false, shade the opposite region.

The shaded region represents the solution set of the inequality.

How do you graph this linear inequality #x + 2y&lt;= 5#?

How do you graph this linear inequality #x + 2y<= 5#?