Find the set of all integers such that $| x - 3 | < 2$ .

Open in App

Solution

Given,
$| x - 3 | < 2$
or, $- 2 < x - 3 < 2$
or, $- 2 + 3 < x < 2 + 3$
or, $1 < x < 5$ .
So, integer values of $x$ are ${2, 3, 4}$ .

Suggest Corrections

Similar questions

Q. The set of all integers x such that

| x - 3 | < 2

is equal to

Write the set in roster form

The set of all integers 'x' such that | x minus 3 | <8

Q. On the set of all integers defined as

f : Z \to Z

such that

f (x) = [x]

, then it is:

Q. Find the sum of all positive integers

x

such that

\frac{x^{3} - x + 120}{(x - 1) (x + 1)}

is an integer.
(correct answer + 2, wrong answer 0)

The average of a set of seven consecutive integers is (x + 1) and that of a different set of seven consecutive integers is (x – 1). Find the average of all the integers in both the sets considering all the common integers only once.

Join BYJU'S Learning Program

Find the set of all integers such that |x−3|<2.

Given,|x−3|<2or, −2<x−3<2or, −2+3<x<2+3or, 1<x<5.So, integer values of x are {2,3,4}.

Find the set of all integers such that $| x - 3 | < 2$ .

Given,
$| x - 3 | < 2$
or, $- 2 < x - 3 < 2$
or, $- 2 + 3 < x < 2 + 3$
or, $1 < x < 5$ .
So, integer values of $x$ are ${2, 3, 4}$ .