Question

what is the absolute value on a number line for the open sentence:
|x - 1| < 4

Answer 1

this one

Answer 2

this one

Answer 3

or this one

Answer 4

None of these correctly identify the possible absolute value of x-1. They all include negative numbers or numbers equal to 4. The range should be 0 to 3. If it's asking what x's possible value is, then it's -4 to 4. If it's asking what x's absolute value range is, it's 0 to 4.

Answer 5

as |x - 1|<4
so all the numbers can be there whose difference with 1 results in a number less than 4
so numbers varying from -3 to 5 will be there
but -3 and 5 will not be included as their difference with 1 = 4, not less than
thus the second graph shows the true characteristics