Question

Check whether the number 21 Q + 18 is of the form 7 Q + 4 for some integer q

Answer 1

21Q + 18 = 7(3Q) + 14 + 4 = 7(3Q + 2) + 4 = 7Q' + 4
where Q' = 3Q + 2
so, it can be represented as 7Q + 4

hope it helps........ :-)

Answer 2

Concept Introduction:

A number that may be expressed without a fractional element is referred to be an integer in everyday speech. Any positively or negatively figure that is not made up of fractions or decimal places is known as an integer, often known as a "round figure" or "whole number."

Given, $21 Q + 18$

To find, whether the number $21 Q + 18$  is of the form $7 Q + 4$ for some integer q.

Solution:

$21Q + 18 = 7(3Q) + 14 + 4 = 7(3Q + 2) + 4 = 7Q' + 4$

Where, $Q' = 3Q + 2$

So, it can be represented as $7Q + 4$

Final Answer:

The final answer is it can be represented as $7Q + 4$.

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