Question

Which of the following inequalities matches the graph?

3x - 2y 4

3x - 4y 2

3x - 2y 4

The correct inequality is not listed.

Answer 1

and if you guys don't mind may you please explain the slanted shading

Answer 2

you need to fix the signs in your original post

Answer 3

and do you not understand still from last time i explained it?

Answer 4

Again I am so sorry
3x - 2y => 4

3x - 4y <= 2

3x - 2y <= 4

The correct inequality is not listed.

Sorry I just need another explaination I am so sorry

Answer 5

well first you need to rearrange your equations to solve for y (also known as slope intercept form) so that you can easily identify the different parts of the equation. while doing this, one thing to keep in mind is that every time you divide or multiple by a negative number, you need to change which way the <or> sign is facing.

Answer 6

rearranging your equations a being the first one, b the second, and c the third, you get
a: y<=3/2x-2
b: y>=3/4x-1/2
c: y>=3/2x-2

Answer 7

when graphing inequalities, anything you have < or > signs, your line will be a dotted line, this indicates that your values do not include anything directly on the line. if you have <= or >= for your signs, your line that you draw/graph will be solid, because it also includes the points on the line

Answer 8

when y is greater than you shade in the region above the line, when y is less than, you shade in the region below the line

Answer 9

looking at your picture, you can see the area above the line is shaded in, so that means it's one of your two greater than options, since both of your greater than options have positive slopes, you need to look at the y-intercept which is the last term in the equation and compare it to your graph to figure out which option is correct.

you can clearly see while looking at your picture that the line as pictured crosses the y-axis at -2, which means equation c is your correct answer.