SOLUTION: hi. i need a answer for a couple inequalities. the directions are, solve each inequality. then graph the solution set. the inequalities are, 3<2x-3<15 and 4<2y-2<10

Question 175271This question is from textbook
: hi. i need a answer for a couple inequalities. the directions are, solve each inequality. then graph the solution set. the inequalities are, 3<2x-3<15 and 4<2y-2<10 This question is from textbook

Answer by jim_thompson5910(35256) (Show Source): You can put this solution on YOUR website!
I'm assuming that these are separate problems
# 1

Start with the given compound inequality.

Add to all sides.

Combine like terms on the left side.

Combine like terms on the right side.

Divide all sides by 2.

Reduce.

So the answer is

-----------------------------------------------------------

So the answer in interval notation is (

)

Also, answer in set-builder notation is

# 2

Start with the given compound inequality.

Add to all sides.

Combine like terms on the left side.

Combine like terms on the right side.

Divide all sides by 2.

Reduce.

So the answer is

---------------------------------------------------------------

So the answer in interval notation is (

)

So the answer in set-builder notation is

Here's the graph of the solution set

Graph of the solution set

Note:
There is an open circle at which means that we're excluding this value from the solution set
Also, there is an open circle at which means that we're excluding this value from the solution set.
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