Solve each inequality and graph its solution.

8) No solution

9) n > -5 (View explanation for info on how to graph)

Step-by-step explanation:

Question 8

24+6k < -6(-4-k) - Solve and graph

1) Distribute -6 to -4 and -k:

24+6k < 24+6k

2) Subtract 6k from both sides:

24<24

^ We know the following is false, therefore there is no solution to question 8.

Question 9

-2n-40 < 5(6+n)+7n - Solve and graph

1) Distribute 5 to 6 and n:

-2n-40 < 30+5n+7n

2) Combine alike terms:

-2n-40 < 30+12n

3) Add 2n to both sides:

-40 < 30+14n

4) Subtract 30 from both sides:

-70 < 14n

5) Divide both sides by 14:

n > -5

6) To graph, plot an OPEN CIRCLE (don't fill in the circle) at point -5 and then draw an arrow pointing to the right!

Let me know if you need any help with the others :)

left 3, up 4

step-by-step explanation:

just count the values of x & y of the vertex of the graph and see how many units in the x and y direction will get you from the f(x) graph to the f(x) graph

correct answer is infinitely many solutions

step-by-step explanation:

2(2x + 3) = -4 + 2(2x + 5)

solving the above equation:

4x + 6 = -4 +4x +10

combining like terms

4x -4x = -4+10-6

0=0

since both sides are 0=0, we end up into true statement it means it has infinite many solutions.

so correct answer is infinitely many solutions