Which ordered pairs make both inequalities true? check all that apply.

y < 5x + 2

y > x + 1

(–3, 2)

(–1, 3)

(0, 2)

(1, 2)

(2, –1)

(2, 2)

(1,2) and (2,2) since blue is a solid line

Step-by-step explanation:

To prove if a point satisfies the inequalities,find the point in the point that both inequalities overlap. In the picture, this is colored purple (both pink and blue/purple).

c

step-by-step explanation:

there is vertical asymptote at x = 2 and x = 0

vertical asymptote occurs at the points where the denominator is 0. so we can say that

x = 2 occurs when there is a factor (x-2) in the denominator, and

x = 0 occurs when there is a factor "x" in the denominator

thus, the denominator of the equation would have "x * (x-2)", this is option c only. that's the correct answer.

b. y = 4x - 2

step-by-step explanation:

to find a parallel equation to an equation, make sure both equations have the same slope but different y-intercepts.

y = 4x + 1

4 = slope

1 = y-intercept

y = 4x - 2

4 = slope

-2 = y-intercept

they both have the same slope but different y-intercepts, so, b. is the correct answer.

and to check your work, you can graph both equations. : )