3 more than the product of 7 and a number x is less than 26 Find the solution set for x. Write the solution using a fraction or
1 answer:
Answer: The solution set is
Step-by-step explanation:
The product of 7 and x is .
3 more than the product of 7 and x is .
We were given that, the expression is less than 26.
This implies that,
.
We group like terms to obtain,
we now divide through by 7 to obtain,
We finally write this as a mixed number to obtain,
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By inspection, it's clear that the sequence must converge to 
because
when
is arbitrarily large.
Now, for the limit as
to be equal to is to say that for any 
, there exists some 
such that whenever 
, it follows that
From this inequality, we get
As we're considering, we can omit the first inequality.
We can then see that choosing
will guarantee the condition for the limit to exist. We take the ceiling (least integer larger than the given bound) just so that 
.
when
Now, for the limit as
From this inequality, we get
As we're considering
We can then see that choosing
Answer:
8/5
Step-by-step explanation:
We can use the formula for finding slope for this:
The answer would be 8/5