<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 
<h2>A can complete the work in 7*6 hrs = 42 hrs.
</h2><h2>
</h2><h2>A can complete in 1 hr = 1/42 part.
</h2><h2>
</h2><h2>B can complete the work in 7*8 hr = 56 hrs.
</h2><h2>
</h2><h2>A&B together do in 1 hr = 1/42 + 1/56 = 7/168 = 1/24 part. So they will do in 8 hrs = 8*1/24 = 1/3 part.
</h2><h2>
</h2><h2>Hence they need 1÷1/3 = 3 days to complete the work.</h2>
The simplified form of the expression; (3/4)-¹ as given in the task content is; 4/3.
<h3>What is the simplified form of the expression as given in the task content?</h3>
It follows from the task content that the expression in discuss can be simplified as follows by the laws of indices;
(3/4)-¹
Hence, due to negative exponent, the result is;
= 1 ÷ (3/4)¹
= 1 × (4/3)
= 4/3.
Read more on indices;
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The money is taken per hour of work and 125 is the amount taken per hour of work
and when multiplied by .095 gives the amount extra he has to pay(for the tax)