Graph the inequality: 2x-5>y
My Work:
2x-y>y -> 2x-5>y
a) m= 2/1
b= -5
My Question:
Should I shave above or below? Whenever I do the math, the results say below, but according to my notes I should shade above.
y < 2 x - 5
yes m = 2 and y intercept is -5
The area of validity is below the line.
Use a dotted line because the line itself does not satisfy the inequality, only below it.
To determine whether to shade above or below the line when graphing an inequality, you need to understand the relationship between the inequality symbol and the line.
In this case, the inequality you have is 2x - 5 > y. To graph this inequality, let's start by rewriting it in slope-intercept form, y < 2x - 5.
First, draw a dotted line representing the equation y = 2x - 5. Since the inequality symbol is less than (<), we will use a dotted line instead of a solid line to indicate that the line itself is not included in the solution.
Next, select a test point that is not on the line. For simplicity, let's choose the origin (0,0). Substitute the x and y values into the original inequality, y < 2x - 5. We get 0 < 2(0) - 5, which simplifies to 0 < -5.
Since 0 is not less than -5, the origin is not part of the solution. Now we know which side of the line to shade.
Since the inequality symbol is less than (<), shade below the dotted line. This indicates that all points below the line satisfy the inequality.
To summarize, when graphing the inequality 2x - 5 > y, you should shade below the dotted line. The points below the line satisfy the inequality, while the line itself is not included in the solution.