Question

What would you like to ask?what fraction of the even integers between 2 and 16 inclusive satisfy the statement?3w-2>28

Answer 1

\[\large 3w-2 \gt 28\]First we want to solve this inequality for w.
We'll add 2 to each side,\[\large 3w \gt 30\]Then we'll divide both sides by 3,\[\large w \gt 10\]

Answer 2

So we want to know, which of these integers satisfy our inequality,\[\large 2,4,6,8,10,12,14,16\]

Answer 3

\[\large \cancel2,\cancel4,\cancel6,\cancel8,\cancel{10},12,14,16\]
It looks only these 3 will work for our w, correct?
How many options did we start with?
Do you understand how to write it as a fraction? :)

Answer 4

no

Answer 5

i just dont understand how to write as fraction form

Answer 6

We put the number of total options in the denominator.
And then the values that WORKED for w in the numerator.
This will give us the proportion we're looking for.

We established that only 3 of those numbers work for w.
So that will be our numerator, 3.

For the denominator, we need to figure out how many different numbers we had to choose from at the start.

2, 4, 6, 8, 10, 12, 14, 16

Hmm it looks like we have 8 numbers listed above don't we?
So that's what will go in our denominator, 8, the total number of options we started with.

3/8

Answer 7

thank you///