algebra 2....?

Question

6: Write in interval notation: x < 5 AND x < 3
(-∞ , 3)
(-∞ , 5)
(3, 5)
(-∞ , ∞ )


7: Solve and write in interval notation: -2 ≤ x + 4 OR -1 + 3x > -8
(-∞ , ∞ )
[-6, -3)
[-6, -7/3)
[-6, ∞ )


8: Solve and write in interval notation: x – 3 ≤ 2 AND -x / 3 < 2
(- ∞ , -2/3)
(-∞, ∞)
(-6, 5]
(-6, ∞)

Answer 1

6. x<5 and x<3 means that x<3.
The interval is (-∞ , 3)

7. -1 + 3x > -8 implies that 3x > -9 or x > -3
-2 ≤ x + 4 implies that -6 ≤ x

Unite (-3, ∞ ) and [-6, ∞ ) and you'll get [-6, ∞ )

8. x - 3 ≤ 2 implies x ≤ 5
-x / 3 < 2 implies -x < 6 or x > -6

The intersection of the two intervals is:
(-6, 5]

Answer 2

6. ]-infinity,5[
7.
-2<=x+4 OR -1+3x>-8
-2-4<=x OR 3x>-8+1
x>=-6 OR x>-7/3
[-6, infinity[

8.
x-3<=2 and -x/3<2
x<=5 and -x<6
x<=5 and x>-6

]-6,5]