I'm working on Lesson 6: Absolute Value Equations and Inequalities Algebra 2 A Unit 2: Expressions, Equations, and Inequalities and feel confident in my first few answers, but beyond that am lost. May I have some help?

Question

**=the answer I believe to be true

1.)
The sides of a triangle are in the ratio 3:4:5. If the triangles perimeter 90cm, what is the length of each side?
a.)22.5 cm, 30 cm, 37.5**
b.)19.3, 25.7, 32.1
c.)7.5, 11.5, 32.1
d.)10.5, 11.5, 12.5

2.)
Is the following sometimes, always, or never true?

6+8x-9=11x+14-3x

I think it's never c.)

3.)
Solve the inequality

r is less than or equal to one fifth

I think the answer is a.)

4.)
Is the following sometimes always or never true?

2(8x-4)-2x <= 14x +12

I think the answer is always true

5.)
Solve the compound inequality

6x-4<-34 or 3x +10>10

I think the answer is x<-5 or x>0 b.)

6.)
-2 <= 2x-4 < 4

I think the answer is 1<= x < 4 c.)

7.) Solve the absolute value equation

2|3x-5|-8=8

I believe the answer is x=-1 or x=4 1/3 b.)

From here on out I am unsure or the answers. I imagine anybody looking at the questions is from Connections academy. If you would be so willing as to help me out I would greatly appreciate it. Have a lovely day.

Answer 1

#3, you list no choices, but the question itself is your answer:
r ≤ 1/5

the rest are correct up to #7