Answer:
Plug your slope and a point into the formula y = mx + B, in which "m" is the slope, (x, y) is a point on the line and "b" is the y-intercept, to find the equation governing the inequality line. Plugging in (0, 0), you obtain 0 = 0 + b, so b = 0. Rewriting the equation, you obtain y = x/2.How to Graph a Linear Inequality
Rearrange the equation so "y" is on the left and everything else on the right.
Plot the "y=" line (make it a solid line for y≤ or y≥, and a dashed line for y< or y>)
Shade above the line for a "greater than" (y> or y≥) or below the line for a "less than" (y< or y≤).
Step-by-step explanation:
1.Find the two intercepts on the axes first...
To do this, use
x
+
y
=
5
For the x-intercept, make y = 0
x
=
5
For the y-intercept, make x = 0
y
=
5
Plot these two points on the axes and connect them with a dotted line because we are working with an inequality and the line itself is NOT included in the solution.
The required solution is the area of the Cartesian plane where the sum of any x- and y- values is less than 5.
The required area is that part BELOW the line.
Check by choosing the origin. (0,0)
0
+
0
=
0
which is a possible solution, so this point lies in the required area.
2.Shade under the line as the answer.Solutions of the inequalities
(-1, 5), (2, 6) , (0, 7)
The region where the solution
of each inequality overlaps.
