<u>ANSWER:</u>
The solution set for the inequality 7x < 7(x - 2) is null set 
<u>SOLUTION:</u>
Given, inequality expression is 7x < 7 × (x – 2)
We have to give the solution set for above inequality expression in the interval notation form.
Now, let us solve the inequality expression for x.
Then, 7x < 7 × (x – 2)
7x < 7 × x – 2 × 7
7x < 7x – 14
7x – (7x – 14) < 0
7x – 7x + 14 < 0
0 + 14 < 0
14 < 0
Which is false, so there exists no solution for x which can satisfy the given equation.
So, the interval solution for given inequality will be null set
Hence, the solution set is
Choose any 2 points from the table:
<span>*10----------------------$25
*15----------------------$35
*20----------------------$45
*25----------------------$55
and find the slope of the line. Supposing we focus on
</span>*15----------------------$35
*20----------------------$45
then:
$45-$35 $10
slope = m = ------------- = ---------- = $2/mile
20-15 5
To find the number of terms in the arithmetic sequence, we need to use the formula
where
is the nth number,
is the first number, n is the number of terms and d is the difference of the two consecutive numbers.
7373 = 1313 + (n - 1)(303)
7373 = 1313 + 303n - 303
7373 = 1010 + 303n
7373 - 1010 = 303n
6363 = 303n
6363 ÷ 303 = n
n = 21
Therefore, there are 21 terms in the arithmetic sequence given.
Answer:
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Step-by-step explanation:
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