Question

in the Euclid's division lemma if a=3q+r then write then write all the possible values of x​

Answer 1

Step-by-step explanation:

Euclid division lemma states that, For every positive natural numbers a, b , We can define a unique pair of natural numbers q, r such that

a = bq + r and 0 ≤ r < b

Now, We are given that,

In Euclid division lemma, It is stated that,

We can clearly observe that, b = 3.

From the above stated relation,

We have :

0 ≤ r < b

0 ≤ r < 3

In words, You could say that, r should be a natural number which is less than 3, but greater than or equal to 0.

There exists 3 such values, 0, 1, 2.

Hence, Required values of r are { 0, 1, 2}