Question

Solve each inequality and graph its solution.

Answer 1

Answer:

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 :)