Which statements are true about y Less-than-or-equal-to 8 and its graph? Check all that apply.
y = 0 is part of the solution set.
y = 8 is part of the solution set.
y = 10 is part of the solution set.
There is an open circle on the graph at 8.
There is a closed circle on the graph at 8.
The arrow on the graph points left.
The arrow on the graph points right.

When the inequality sign is </> (less than/greater than), the dot is an open circle.

When the inequality sign is ≤/≥ (less than or equal to/greater than or equal to), the dot is a closed circle.

y = number that is a solution/makes the inequality true

y ≤ 8      (y is any number less than or equal to 8)

#1:    y = 0 is part of the solution set.

Yes because if you substitute/plug in 0 into "y" in the inequality, since y = 0:

0 ≤ 8         0 is less than 8.

#2:     y = 8 is part of the solution set.

Yes because if you plug it into the inequality:

8 ≤ 8       8 is equal to 8

#3:     y = 10 is part of the solution set.

No because if you plug it into the inequality:

10 ≤ 8         10 is not less than or equal to 8

#4:     There is an open circle on the graph at 8.

No because the inequality sign is ≤, so there should be a closed circle on 8.

#5:      There is a closed circle on the graph at 8.

Yes because the inequality sign is ≤

#6:    The arrow on the graph points left.

Yes because if the arrow is pointing left then the numbers are decreasing, and y is any number less than or equal to 8.

#7:     The arrow on the graph points right.

No because if the arrow is point right then the numbers are increasing, but y is not a number greater than 8.

Your answer is the 1st, 2nd, 5th, and 6th option

1. 3.4/4

2. 0.8/7

3. 0.5 x 3

4. 0.9 x 6

5. 10.8

6. 2.35

7. 0.567

8. 9.35

9. 0.02

10. 0.06

11. 0.16

12. 0.42

13. 0.63

14. 5.6

15. 8.1

16. 9.9

17. 0.28

18. 0.48

19. 0.27

20. 0.49

21. 0.45

22. 0.72

23. 0.9

24. 0.88

25. 0.75

26. 0.16

27. 0.328

28. 0.495

29. 0.72

30. 1.068

step-by-step explanation: