help needed finding numbers satisfying 2(5-3x) > 47+4x

[RicanGurl]

List six real numbers that satisfy the inequality 2(5-3x) > 47+4x.

How would I begin to do this.

 

[tkhunny]

Solve the inequality. Simplify it as much as possible until the solution is clear.

After that, just pick some values. If you get x > 2, pick 3 4 5 6 etc... Anything.

 

[RicanGurl]

hey

I need atleast one example, so I can know exactly what I am doing. Any one volunteer?

thanx

 

[stapel]

Re: hey

I need atleast one example, so I can know exactly what I am doing. Any one volunteer?

Since we cannot really teach classes here (you have requested a lesson with at least one worked example), please consider studying from some of the great lessons available online:

. . . . .Google results for "solving linear inequalities"

Once you have studied some of the lessons in the link (at least two!), please attempt the exercise. If you get stuck, please reply showing all of your steps and reasoning.

Once the inequality is solved, then follow the one remaining step provided in a previous reply: Pick six random numbers from the solution set you've found.

Eliz.

 

[Deleted member 4993]

Re: help needed finding numbers satisfying 2(5-3x) > 47+4

List six real numbers that satisfy the inequality 2(5-3x) > 47+4x.

How would I begin to do this.

Following tkhunny's advice solve the inequality first.

I'll do the first step for you:

2(5-3x) > 47 + 4x

10 - 6x > 47 + 4x ...... distribute '2' on the left-hand-side

10 - 47 > 4x + 6x ...... isolate 'x' (gather 'x' terms and 'non-x' terms)

Now continue....

If you are still stuck - for a quick review go to:

http://www.purplemath.com/modules/ineqsolv.htm

Please show us your work - and exactly where you are stuck - so that we can help you better.

 

[RicanGurl]

2(5-3x) > 47 + 4x

10 - 6x > 47 + 4x ...... distribute '2' on the left-hand-side

10 - 47 > 4x + 6x ...... isolate 'x' (gather 'x' terms and 'non-x' terms)

-37>10x

-37/10 10x /10

-3.7<x


It says to list three real numbers that satisfy the inequality. I dont think this is what they are looking for. What do you think?

 

[tkhunny]

Great, now move on to the second part. Just pick some.

0 works.

45 works.

Four to go!

 

[RicanGurl]

so 0, 45, 6, 4, 8, and 31 would all work right?



for this ~ -3.7 < x

-3.7 < 0
-3.7 < 45
-3.7 < 6
-3.7 < 8
-3.7 < 31

Right? =)

 

[tkhunny]

What do you think? When you're done and correct, quit and move on.