Question

Part 1: Solve |4x-11| < 5

Answer 1

Do you have an idea on how to start @ninaa1024 ??

Answer 2

Part 1
|4x - 11| < 5; remove the bars
4x - 11 < 5; add 11 to each side
4x - 11 + 11 < 5 + 11; simplify
4x < 16; divide each side by 4
4x/4 < 16/4; simplify & solve
x < 4

-|4x - 11| < 5; remove the bars and use parenthesis
-(4x - 11) < 5; distribute the - sign
-4x + 11 < 5; subtract 11 from both sides
-4x + 11 - 11 < 5 - 11; simplify
-4x < -6; divide each side by -4 and switch the sign
-4x/-4 > -6/-4; simplify
x > 6/4; reduce
x > 3/2

Answer 3

I need Part 2: Use complete sentences to describe the graph in words. (3 points)

Answer 4

it's (x<4) And (x>3/2) indeed and the answer is simply written as (3/2<x<4).

Answer 5

seems right, part one.
and if you need part 2, why ask for help on part 1 when you already had it? lol

Answer 6

I need Part 2: Use complete sentences to describe the graph in words. (3 points)

it was a mistake.

Answer 7

anything you give is good thank you !

Answer 8

in general, the solution of f(x)<5 is found on a graph by finding the set of x's where f(x) is below the line of equation y=5.

draw the graph of |4x-11|, draw the line y=5, and observe..