A system of linear inequalities is shown above. ( in the picture )

Which of the following ordered pairs is a solution to the graph of the system of inequalities?

Select all that apply.

A. (-4,1)

B. (-3,-4)

C. (0, -3)

D. (0, 1)

E. (5,-2)

C. (0, -3)

Step-by-step explanation:

The given system is

The point that satisfies both inequalities is the solution to the system.

When x=0 and y=-3.

We substitute into the first inequality to get:

We again substitute into the second inequality to get:

The point (0,-3) is a solution to the system of inequalities.

use the power rule  

( a b ) n = a n b n

to distribute the exponent.

apply the product rule to  

3 x 2 y 3 . ( 3 x 2 ) 2 ( y 3 ) 2

apply the product rule to  

3 x 2 . 3 2 ( x 2 ) 2 ( y 3 ) 2

raise  

3

to the power of  

2 . 9 ( x 2 ) 2 ( y 3 ) 2 multiply the exponents in   ( x 2 ) 2

.

apply the power rule and multiply exponents,  

( a m ) n = a m n . 9 x 2 ⋅ 2 ( y 3 ) 2

multiply  

2   by   2 . 9 x 4 ( y 3 ) 2

multiply the exponents in  

( y 3 ) 2 .

apply the power rule and multiply exponents,  

( a m ) n = a m n . 9 x 4 y 3

⋅

2

multiply  

3   by   2 . 9 x 4 y 6

step-by-step explanation: