SOLUTION: -6>4y 8-u>4 5w>-6w+11 6y-7<-2y+13 |2h+1|<5 -10<4q<12 5(-2+b)<3b+2 10k<75and4-k<0 0.5(x+3)-2.1>-1

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Question 100436This question is from textbook prentic all mathmatics algebra 1
: -6>4y
8-u>4
5w>-6w+11
6y-7<-2y+13
|2h+1|<5
-10<4q<12
5(-2+b)<3b+2
10k<75and4-k<0
0.5(x+3)-2.1>-1 This question is from textbook prentic all mathmatics algebra 1

Answer by jim_thompson5910(35256) (Show Source):
You can put this solution on YOUR website!
I'll do the first three, and the absolute value problem, to give you an idea on how to do these

#1
Start with the given inequality

Divide both sides by 4

Reduce

So the answer is

#2

Start with the given inequality

Subtract 8 from both sides

Combine like terms on the right side

Divide both sides by -1 to isolate u (note: Remember, dividing both sides by a negative number flips the inequality sign)

Divide

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Answer:
So our answer is

#3

Start with the given inequality

Add 6w to both sides

Combine like terms on the left side

Divide both sides by 11 to isolate w

Divide

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Answer:
So our answer is

#4

Start with the given inequality

Break up the absolute value (remember, if you have , then and )

and Break up the absolute value inequality using the given rule

Combine the two inequalities to get a compound inequality

Subtract 1 from all sides

Divide all sides by 2 to isolate h

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Answer:

So our answer is