The equation representing Max's number is
.
<h3>What is an equation?</h3>
In its simplest form in algebra, the definition of an equation may be a mathematical statement that shows that two mathematical expressions are equal. It consists of variables dependent and independent variables. They can be linear or non-linear in nature.
Let the number Max is thinking be 'x'
He adds 8 to the number and then he doubles the sum.
Sum means we are adding a number to x, in this case it is 8.
Double the number means twice the given number in this case it is twice the sum of number with 8.
As per the statement:
The expression to represents Max's number
=
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If 9 is 1/3 of the problem, then 9 x 3
= 27 would be the answer
One line passes through the points (-2,3) and (0,-3) , it means the y intercept is b=-3
and slope m = 

So the equation of line will be 
And the inequality should be 
Or 
And the other line passes through (-2,3) and (0,2)
So the y intercept is b=2
and the slope is 
So the equation of line will be 
Or

So answer is 