Math- Inequalities?

Question

I need an inequality, I can find my way after that.

A candidate needs 5000 signatures on a petition before she can run for a township office. Experiece shows that 15% of the signatures on the petitions are not valid. What is the smallest number of signatures the candidate should get to end up with 5000 valid signatures.

Answer 1

ok. since 15% of the signitures are usually not valid, to get the smallest number, you want 85% (100% - 15%) of some number, x, to equal 5,000.

thus, 85% as a decimal is .85. so

.85x= 5000

you get 5882.342941 = x, round up one to 5883.

oooo, you want an innequality....

set .85x > than or equal to 5000

then solve for x by dividing by .85
and you get x > or equal to 5882.342941

however, in this case, since we are talking about signatures, you can't have .342941 of a signature! lol so you have to round up to the next highest number
so you get
x > or equal to 5883 as your final answer.
hope this helps!

Answer 2

The smallest number of signatures the candidate should get to end up with 5000 valid signatures is 5883. If he got 5882 signatures he'll be short by a certain point.

Answer 3

The problem needs inequality to represent the number of valid votes. Therefore if

v=to the total number of votes

then,

5000 represents 85% of the votes

Then the smallest number of votes

v=5000/.85

v= 5882

Therefore, the candidate must get more than or equal to 5882 votes or

v>=5882

Answer 4

That would mean 85% ARE valid...so, 85% of what number is equal to or greater than 5000? .85n >= 5000

Answer 5

OK, let's see

Valid_Signatures= 5000
Smallest No of petitions >= 5000(1+0.15)

>= 5750

Good luck!

Answer 6

There are two inequalities: 2w > eight AND 2w < 12 You can clear up it now. The first one says w > four. The moment one says w < 6. So the reply is "w > four AND w < 6". You can write this as "four < w < 6".