Question

Question 4

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

(a) 2x + 6 = 0

(b) 3x - 5 = 0

(c) 5x - 8 = x + 4

(d) 4x + 7 = x + 2

Answer 1

Let us solve the equations:
(a) Given equation is 2x + 6 = 0
$\Rightarrow 2x=-6\Rightarrow x=-\frac{6}{2}\Rightarrow x=-3\left(integer\right)$
(b) Given equation is 3x - 5 = 0
$\Rightarrow 3x=5\Rightarrow x=\frac{5}{3}\left(fraction\right)$
(c) Given equation is 5x - 8 = x + 4
$\Rightarrow 5x=x+4+8\Rightarrow 5x=x+12\Rightarrow 5x-x=12\Rightarrow 4x=12\Rightarrow x=3\left(integer\right)$
(d) Given equation is 4x + 7 = x + 2
$\Rightarrow 4x+7-x=2\Rightarrow 3x=2-7\Rightarrow 3x=-5\Rightarrow x=-\frac{5}{3}$
which is neither a positive fraction nor an integer.