please help me! Please help me as soon as possible.

Question

Question 1: Identify the graph that represents the given system of inequalities. Also identify two ordered pairs that are solutions to the system.

y > x + 5

y ≥ 2x + 3

A.) Possible solutions: (−6, 5), (−7, −1)

B.) Possible solutions: (−5, 5), (−4, 2)

C.) Possible solutions: (0, 0), (1, 1)

D.)    Possible solutions: (3, 3), (−2, −2)

Question 2: Classify the system of equations and identify the number of solutions.

5x + y = 2

2y = 4 − 10x

A.) inconsistent; none

B.) consistent, dependent; one

C.) consistent, dependent; infinite

D.) consistent, independent; one

Please give solution and explanation.

Answer 1

HI Justin

An inequality is defined by the direction of the inequality sign.

Also, the line that delimits the inequality is dotted when the inequality is "less than" or "greater than" and it's solid when the inequality includes the "or equal" designation.

So the red line is 2X+3, and the green line is X+5

C is the answer - you should verify that the ordered pairs are in the Gray field

For part b, double the first equation and verify that the two equations are identical. Identical answers have infinite solutions.