Which graph shows the solution to the system of linear inequalities? y < 2x – 5 y > –3x + 1

The graph of system of inequalities is shown below.

Step-by-step explanation:

The given inequalities are

The related equation of the given inequalities are

First find the x-intercept and y-intercepts of related equations.

The x-intercept is (2.5,0) and y-intercept is (0,-5).

The x-intercept is (0.333,0) and y-intercept is (0,1).

The related line is a doted line because the sign inequalities are > and <.

Check the inequalities by (0,0).

It is a false statement. So, (0,0) does not contained in shaded region.

It is a false statement. So, (0,0) does not contained in shaded region.

The graph of system of inequalities is shown below.

given that triangle abc is transformed two times to get triangle

a"b"c"

first abc is transformed in to a'b'c' as follows:

the coordinates of a are (1,-1) and transformed into a'(-1,1)

similarly b (4,-2) became b'(-4,2) and

c(7,-2) became c'(-7,2)

i.e. (x,y) becomes (-x,-y)

this is nothing but reflection about a point here origin.

thus first transformation is reflection on the origin.

next is exactly shifting 3 units down

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