given that (4x/5)-(1/10)<=x-(2/5), state the smallest value of x when
1)x is an integer
2)x is prime number
3)x is a rational number
please guide me on how should i solve these ?
I don't get $\displaystyle \displaystyle 4.5 \leq x$...
$\displaystyle \displaystyle \begin{align*} \frac{4x}{5} - \frac{1}{10} &\leq x - \frac{2}{5} \\ \frac{4x}{5} + \frac{3}{10} &\leq x \\ \frac{3}{10} &\leq \frac{x}{5} \\ \frac{3}{2} &\leq x \end{align*}$
What is the smallest integer which satisfies this inequality? What is the smallest prime number? What is the smallest rational number?