Answer:
Given the inequality:
The related equation for the given equation is:
y = 3x -3 ......[1]
x -intercepts: The point where the line crosses the x-axis
Substitute the value of y= 0 in [1] to solve for x;
0 = 3x -3
Add both sides 3 we get;
0 + 3 = 3x -3 +3
Simplify:
3 = 3x
Divide both sides by 3 we get;
Simplify:
1 = x
or x = 1
x-intercept is (1 , 0)
y-intercepts: The point where the line crosses the y-axis
Substitute the value of x= 0 in [1] to solve for y;
y =3(0) -3 = 0-3
Simplify:
y = -3
y-intercept = (0 , -3)
When your inequality symbol:
- Greater than (>) or Greater than or equal to (
), then the solution region is above the boundary line.
- Less than (<) or Less than or equal to(
), then your solution region is below the boundary line.
Also, when the symbol is:
"> , < , then we draw a dashed line,
"", then we draw a solid line.
Since, the given inequality i.e symbol is
, draw a solid line and shade above the line:
As you can see the given inequality graph below in the attachment
