Hello
By just looking at the question, you should know that if there an absolute value symbol (which are those two straight lines surrounding that equation), the answer will always be positive.
Answer:
f(1) = -8
Step-by-step explanation:
Apparently, you want the argument of the function such that the function value is -8. Fill in the given information and solve for x:
-8 = -7x -1
-7 = -7x . . . . add 1
1 = x . . . . . . . divide by -7
Now, you know that ...
f(1) = -8
The inequality is still true! If you add a number, say 5 to both sides of the following inequality, does anything change?
3 < 6
3 + 5 < 6 + 5
8 < 11
The inequality is still true. We know the statement holds for subtracting the same number because, in a way, addition and subtraction are pretty much the same operation. If I subtract 5 from both sides, I can think of it like "I add negative 5 to both sides" or something along those lines. It's kind of backwards thinking.