For each of the figures, write Absolute Value in the form |x-c|=d, where c and d are some numbers, to satisfy the solution set.

Step-by-step explanation:

Given

Attached number lines

Required

Express as:

The two points on the number line represent x and c (in no particular) respectively.

Solving (a):

Let:

So:

Solve the expression in the absolute bracket

Remove absolute bracket

So: the expression is;

Solving (b):

Let:

So:

Solve the expression in the absolute bracket

Remove absolute bracket

So: the expression is;

x is greater than 5

step-by-step explanation:

2x+7 is greater than 17

    -7                           -7

2x is greater than 10

divide by 2 each side

x is greater than 5

(f - g)(x) = 5x^3 - 3

step-by-step explanation:

rearrange these functions vertically, with like terms in separate columns:

f(x) = 5x^3 - 2

g(x) =         +1

now subtract, column by column:

(f - g)(x) = 5x^3 - 3