Help please. chapter test tomorrow. an cant figure these out.?

Question

7: Write the solution to the compound inequality in compact form, write the solution in interval notation, and describe the graph.
Write the solution in compact form:
1 < y + 2 < 12

-2 < y < 10
-1 < y < 10
2 < y < 12
2 < y < 12


8: Write the above solution in interval notation:
(-1, 10)
(-1, ∞)
(-∞, 10)
(-∞, ∞)


9: Describe the above graph.
the entire graph is shaded
open circle on -1, and shaded to the right
open circle on -1, open circle on 10, and shaded in between
open circle on 10, and shaded to the left


10: Write the solution to the compound inequality in compact form, write the solution in interval notation, and describe the graph.
Write the solution in compact form:
- 5 < (t + 15)/3 ≤ 9

-30 < t ≤ 12
0 > t ≥ 12
0 < t ≤ 12
30 < t ≤ 12


11: Write the above solution in interval notation:
(-30, 12]
(30, 12)
[0, 12]
(-∞, ∞)


12: Describe the above graph.
the entire graph is shaded
open circle on -30, closed circle on 12, and shading in between
closed circle on -30, closed circle on 12, and shading in between
open circle on zero, open circle on 12, and shading in between


13: Write the solution to the compound inequality in compact form, write the solution in interval notation, and describe the graph.
Write the solution in compact form:
h + 1 < 2/3 h < h + 2
-3 > h > -6
-1 < h > 6
3 > h > -6
-1 > h > 6


14: Write the above solution in interval notation:
(-3, 6)
(-∞, 6)
(-6, -3)
(-∞, ∞)


15: Describe the above graph.
the entire graph is shaded
open circle on 6, and shaded to the right
open circle on -6, open circle on -3 and shaded in between
open circle on -3, and shaded to the left

Answer 1

Here's the answers:

7. -1 < y < 10

8. (-1, 10)

9. open circle on -1, open circle on 10, and shaded in between

10. -30 < t ≤ 12

11. (-30, 12]

12. open circle on -30, closed circle on 12, and shading in between

13. -3 > h > -6

14. (-6, -3)

15. open circle on -6, open circle on -3 and shaded in between

Answer 2

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