Question

The solution of which of the following equations is neither a fraction nor an integer.

• A. $3x+2=5x+2$
• B. $4x–18=2$
• C. $4x+7=x+2$
• D. $5x–8=x+4$

Answer 1

The correct option is C

$4x+7=x+2$

Option (a)

$\begin{array}{rcl}3x+2& =& 5x+2\\ 3x-5x& =& 0\\ 2x& =& 0\\ x& =& 0\end{array}$

So, it is an Integer.

Option (b)

$\begin{array}{rcl}4x–18& =& 2\\ 4x& =& 2+18\\ x& =& \frac{20}{4}\\ x& =& 5\end{array}$

So, it is an Integer.

Option (c)

$\begin{array}{rcl}4x+7& =& x+2\\ 4x-x& =& 2-7\\ 3x& =& -5\\ x& =& \frac{-5}{3}\end{array}$

So, It is neither integer nor fraction because in the case of fraction both the numerator and denominator have to be a whole number.

Option (d)

$\begin{array}{rcl}5x–8& =& x+4\\ 5x–x& =& 4+8\\ 4x& =& 12\\ x& =& \frac{12}{4}\\ x& =& 3\end{array}$

So, it is an Integer.

Hence, from the above discussion, we conclude the correct option is (C)