Question

Part 1: Solve |4x-11| < 5. You must show all work. (3 points) Part 2: Use complete sentences to describe the graph in words.

Answer 1

thats all it says

Answer 2

Hint: In general:

\(|x - a| < b \equiv -b < x - a < b \equiv a - b < x < a + b \)

Answer 3

so whats the answer can you explain it too me

Answer 4

\(\equiv\) means "equivalent to"

Answer 5

i mean step by step process

Answer 6

Written another way:

\(|x - a| < b \\ = -b < x - a < b \\ = a - b < x < a + b\)

Answer 7

so whats the answer

Answer 8

You should come here looking for explanations, not answers.

Answer 9

but you not explaining throughly
like walk me throught it

Answer 10

Hint: a = 11, b = 5

Answer 11

|4x-11|<5
4x<16
x<4
or

|4x-11|>-5
4x>6
x>2/3

Answer 12

You changed it from an "and" statement to an "or" statement. But it's not an "or" statement.

Answer 13

so its |4x-11|<5
4x<16
x<4
and

|4x-11|>-5
4x>6
x>2/3

Answer 14

|4x-11| < 5
-5 < 4x - 11 < 5
11 - 5 < 4x - 11 < 11 + 5
6 < 4x < 16
6/4 < x < 16/4
2/3 < x < 4

That's how it should be done.