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Answer:
--- function
Step-by-step explanation:
Given
Solving (a): The domain
The x values represent the domain.
Hence, the domain is:
Solving (b): The range
The y values represent the range
Hence, the range is:
Solving (c): The function
By observation, we can see that for all values of x the value of y remains unchanged (-5)
Hence, the function is:
<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