12.



Determine if the following is a

conjuction or disjunction.

y + 4 < -1 or y + 2 > 8 (Points : 1)



13. State how you determined if the combination above was a conjunction or disjunction. (Points : 2)



14. Solve the problem. (Hint: You should have two answers).

y + 4 < -1 or y + 2 > 8. (Points : 4)



15. Describe the graph of the solution to

y + 4 < -1 or y + 2 > 8

(Hint: what types of circles are used and where?) (Points : 2)



16. What type of shading was used in the graph of y + 4 < -1 or y + 2 > 8? (Points : 1)

Number line shaded between the two circles only.

Number line shaded away from each circle

Entire number line shaded

No shading on number line

17.

Write the absolute value inequality without absolute value bars.

(HINT: There will be two inequalities.)

--MAIL MERGE DATA NOT AVAILABLE-- ≤ 5 (Points : 2)



18. Solve the absolute value inequality --MAIL MERGE DATA NOT AVAILABLE-- ≤ 5. (Points : 2)



19. Describe the graph of the inequality solved above.

This is just a "homework dump".

Now, with which particular question did you run into difficulties?
Show me the steps you took leading up to your difficulty.

Btw, the cut-and-paste clearly did not work for the last two questions.

12. To determine if the given statement is a conjunction or disjunction, we need to look at the connective word. In this case, the given statement includes the word "or." The word "or" indicates a disjunction, which means that either one or both conditions can be true for the whole statement to be true.

13. We determined that the combination is a disjunction because the given statement includes the word "or." The word "or" indicates a disjunction, which means that either one or both conditions can be true for the whole statement to be true.

14. To solve the problem, we need to find the values of y that satisfy the given disjunction. Let's solve each inequality separately:
First inequality: y + 4 < -1
Subtract 4 from both sides: y < -5
Second inequality: y + 2 > 8
Subtract 2 from both sides: y > 6
Therefore, the two solutions are y < -5 and y > 6.

15. The graph of the solution to the disjunction y + 4 < -1 or y + 2 > 8 can be represented on a number line. We use open circles to represent the endpoints (-5 and 6) since the inequality symbols are less than (<) and greater than (>). The open circles indicate that the endpoints are not included in the solution set. The shading on the number line is done in two separate regions: to the left of -5 and to the right of 6.

16. The type of shading used in the graph of y + 4 < -1 or y + 2 > 8 is the shading away from each circle. Since the endpoint values (-5 and 6) are not included in the solution set, the shading is done away from each open circle.

17. To write the absolute value inequality without absolute value bars, we need to consider two cases: one for the positive side and one for the negative side.
First inequality: -MAIL MERGE DATA NOT AVAILABLE- ≤ 5
Taking the opposite sign on both sides: MAIL MERGE DATA NOT AVAILABLE - 5 ≥ 0
Second inequality: MAIL MERGE DATA NOT AVAILABLE - 5 ≤ -5
Simplifying the second inequality: MAIL MERGE DATA NOT AVAILABLE ≤ 0

18. To solve the absolute value inequality MAIL MERGE DATA NOT AVAILABLE ≤ 5, we need to consider two cases: one for the positive side and one for the negative side.
Case 1: MAIL MERGE DATA NOT AVAILABLE - 5 ≥ 0
Adding 5 to both sides: MAIL MERGE DATA NOT AVAILABLE ≥ 5
Case 2: MAIL MERGE DATA NOT AVAILABLE ≤ 0
The values that satisfy both cases are MAIL MERGE DATA NOT AVAILABLE ≤ 5

19. The graph of the inequality MAIL MERGE DATA NOT AVAILABLE ≤ 5 can be represented on a number line. We use a closed circle at 5 to indicate that the endpoint is included in the solution set. The shading on the number line is done to the left of 5, including 5, since the inequality symbol is less than or equal to (≤).