Answer:
8) No solution
9) n > -5 (View explanation for info on how to graph)
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 :)