SOLUTION: 1. y-10>2y-3 are 7,-18,-11,or -3 a solution to the inequality?
2. (x|x is greater than or equal to -5) how do i write in interval notation?
3. what is interval notation for
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Question 168182: 1. y-10>2y-3 are 7,-18,-11,or -3 a solution to the inequality?
2. (x|x is greater than or equal to -5) how do i write in interval notation?
3. what is interval notation for the set (x|-5>x>-7)
4. solve -7/2x>-5/4 ...what is solution x|x???
Found 2 solutions by jim_thompson5910, stanbon:
Answer by jim_thompson5910(35256) (Show Source): You can put this solution on YOUR website!
# 1
To see if any values are solutions, we need to test them all
Let's see if is a solution.
Start with the given inequality.
Plug in .
Multiply
Combine like terms.
Since the inequality is FALSE,this means that is NOT a solution.
------------------------------------------------------------------------
Let's see if is a solution.
Start with the given inequality.
Plug in .
Multiply
Combine like terms.
Since the inequality is TRUE,this means that is a solution to the inequality.
------------------------------------------------------------------------
Let's see if is a solution.
Start with the given inequality.
Plug in .
Multiply
Combine like terms.
Since the inequality is TRUE,this means that is a solution to the inequality.
------------------------------------------------------------------------
Finally, let's see if is a solution.
Start with the given inequality.
Plug in .
Multiply
Combine like terms.
Since the inequality is FALSE,this means that is NOT a solution to the inequality.
------------------------------------------------------------------------
Answer:
So the solutions of the inequality are and .
# 2
written in interval notation is [
)
# 3
First rewrite -5 > x > -7 into -7 < x < -5
So the answer in interval notation is
(
)
# 4
Start with the given inequality.
Multiply both sides by the LCD to clear the fractions.
Distribute and multiply.
Divide both sides by to isolate . note: Remember, the inequality sign flips when we divide both sides by a negative number.
Reduce.
----------------------------------------------------------------------
Answer:
So the answer is
Which approximates to
So the solution set is 
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
1. y-10>2y-3 are 7,-18,-11,or -3 a solution to the inequality?
Solving for y you get y < -7
So -18 and -11 are solutions.
--------------------------------
2. (x|x is greater than or equal to -5) how do i write in interval notation?
Interval Notation: [-5,inf)
--------------------------------
3. what is interval notation for the set (x|-5>x>-7)
(-7,-5)
---------------------------------
4. solve -7/2x > -5/4 ...what is solution x|x???
Multiply both sides by -2/7 to get:
x < 5/14
=================
Cheers,
Stan H.
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