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

Algebra ->  Algebra  -> Inequalities -> 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       Log On

Ad: Algebra Solved!™: algebra software solves algebra homework problems with step-by-step help!
Ad: Algebrator™ solves your algebra problems and provides step-by-step explanations!

   

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(14938) About Me  (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 y=7 is a solution.


y-10%3E2y-3 Start with the given inequality.


7-10%3E2%2A%287%29-3 Plug in y=7.


7-10%3E14-3 Multiply


-3%3E11 Combine like terms.


Since the inequality -3%3E11 is FALSE,this means that y=7 is NOT a solution.


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


Let's see if y=-18 is a solution.


y-10%3E2y-3 Start with the given inequality.


-18-10%3E2%2A%28-18%29-3 Plug in y=-18.


-18-10%3E-36-3 Multiply


-28%3E-39 Combine like terms.


Since the inequality -3%3E11 is TRUE,this means that y=-18 is a solution to the inequality.


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



Let's see if y=-11 is a solution.


y-10%3E2y-3 Start with the given inequality.


-11-10%3E2%2A%28-11%29-3 Plug in y=-11.


-11-10%3E-22-3 Multiply


-21%3E-25 Combine like terms.


Since the inequality -21%3E-25 is TRUE,this means that y=-11 is a solution to the inequality.


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


Finally, let's see if y=-3 is a solution.


y-10%3E2y-3 Start with the given inequality.


-3-10%3E2%2A%28-3%29-3 Plug in y=-11.


-3-10%3E-6-3 Multiply


-13%3E-9 Combine like terms.


Since the inequality -21%3E-25 is FALSE,this means that y=-11 is NOT a solution to the inequality.


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


Answer:


So the solutions of the inequality are y=-18 and y=-11.







# 2


written in interval notation is [)





# 3


First rewrite -5 > x > -7 into -7 < x < -5


So the answer in interval notation is


()






# 4




-%287%2F2%29x%3E-5%2F4 Start with the given inequality.


4%28-%287%2Fcross%282%29%29x%29%3Ecross%284%29%28-5%2Fcross%284%29%29 Multiply both sides by the LCD 4 to clear the fractions.


-14x%3E-5 Distribute and multiply.


x%3C%28-5%29%2F%28-14%29 Divide both sides by -14 to isolate x. note: Remember, the inequality sign flips when we divide both sides by a negative number.


x%3C5%2F14 Reduce.


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

Answer:

So the answer is x%3C5%2F14


Which approximates to x%3C0.357



So the solution set is

Answer by stanbon(29603) About Me  (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.