Question

In integers, $4x-1=8$ has ______ solution.

Answer 1

Solve the given equation:

The given equation can be simplified as,

$4x-1=8$

$\Rightarrow$ $4x=8+1$

$\Rightarrow$ $4x=9$

$\Rightarrow$ $x=\frac{9}{4}$

But, as we know, the set of integers $\mathrm{𝕀}=\left\{...,-3,-2,-1,0,1,2,3,...\right\}$

Since $\frac{9}{4}$ is a rational number that is not an integer.

So, it is clear that $\frac{9}{4}\notin \mathrm{𝕀}$

Hence, there is no solution of $4x-1=8$ in integers.