Which of the following is a solution to the following system of inequalities?

See explanation

Step-by-step explanation:

You didn't give the options but it is quite easier to determine if the point is a solution using the diagram.

The solution set are all points in the shaded region.

So you just have to plot the points to see which one falls in the shaded region, and that is your answer.

Note that points on the boundary line are not included, since the boundary line is a dashed one.

For instance, (3,-1),(3,-2), (4,-1) etc are all solutions to the inequality.

(x3 + 6x2 + 2x - 6) • (x - 1)

step-by-step explanation:

polynomial long division :

3.2     polynomial long division

dividing :   x4+5x3-4x2-8x+6

                              ("dividend")

by         :     x-1     ("divisor")

dividend     x4   +   5x3   -   4x2   -   8x   +   6

- divisor   * x3     x4   -   x3            

remainder         6x3   -   4x2   -   8x   +   6

- divisor   * 6x2         6x3   -   6x2        

remainder             2x2   -   8x   +   6

- divisor   * 2x1             2x2   -   2x    

remainder               -   6x   +   6

- divisor   * -6x0               -   6x   +   6

remainder                     0

quotient :   x3+6x2+2x-6   remainder:   0

the answer would be 150 books

step-by-step explanation:

if you divide 300 by 2 you will get 150