Which is the graph of linear inequality 2y > x – 2?
on a coordinate plane, a solid straight line has a positive slope and goes through (negative 4, negative 3), (0, negative 1), and (2, 0). everything to the right of the line is shaded.
on a coordinate plane, a solid straight line has a positive slope and goes through (negative 4, negative 3), (0, negative 1), and (2, 0). everything to the left of the line is shaded.
on a coordinate plane, a dashed straight line has a positive slope and goes through (negative 4, negative 3), (0, negative 1), and (2, 0). everything to the left of the line is shaded.
on a coordinate plane, a dashed straight line has a positive slope and goes through (negative 4, negative 3), (0, negative 1), and (2, 0). everything to the right of the line is shaded.

Option 3

Step-by-step explanation:

Given : Linear inequality

To find : Which is the graph of linear inequality ?

Solution :

Linear inequality

First we figure out the slopes and coordinates through which it pass.

The linear equation is  

The general slope form of line is

Where, m is the slope and c is the y-coordinate

Re-write the equation

On compare,

Slope is positive

The y-coordinate is (0,-1)

For x-coordinate put y=0,

The x-coordinate is (2,0).

Now, Plotting the linear inequality and mark the point (-4,-3).

Refer the attached figure below.

We get, On a coordinate plane, a dashed straight line has a positive slope and goes through (negative 4, negative 3), (0, negative 1), and (2, 0). Everything to the left of the line is shaded.

Therefore, Option 3 is correct.

On a coordinate plane, a dashed straight line has a positive slope and goes through (negative 4, negative 3), (0, negative 1), and (2, 0). Everything to the left of the line is shaded

Step-by-step explanation:

we have

The solution of the inequality  is the shaded area above the dashed line

The equation of the dashed line is

The slope of the dashed line is positive

The y-intercept of the dashed line is (0,-1)

The x-intercept of the dashed line is (2,0)

therefore

On a coordinate plane, a dashed straight line has a positive slope and goes through (negative 4, negative 3), (0, negative 1), and (2, 0). Everything to the left of the line is shaded

see the attached figure to better understand the problem

set each factor equal to 0

4x-3 = 0

2x-1 = 0

solve for x.

4x-3=0

4x=3

x= 3/4

solve for x. 

2x-1= 0

2x= 1

x= 1/2

your answer should be 1/2 is less than or equal to x and 3/4 is greater than or equal to x