Question

Answer BOTH questions and show your work (either type out your steps, use the writing tool or upload a picture of your work):

Part A: IF (x) = 3(x + 6), find f(x) = 24. (5 points)
Part B: Solve for x and graph your solution on a number line or describe the solutions for x:
2(x-4) > 4x - 18
(5 points)

Answer 1

9514 1404 393

Answer:

A: x = 2

B: x < 5

Explanation:

Part A:

Substitute the given value and solve for x.

f(x) = 3(x +6)

24 = 3(x +6)

8 = x +6 . . . . . . divide by 3

2 = x . . . . . . . . . subtract 6

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Part B:

Eliminate parentheses, solve the 3-step inequality.

2(x -4) > 4x -18

2x -8 > 4x -18

-8 > 2x -18 . . . . . . . subtract 2x

10 > 2x . . . . . . . . . . add 18

5 > x . . . . . . . . . . . divide by 2

The solutions for x include any value less than 5.