Question

I am trying to make this statement true. 9/8 > x/2. How do I figure out what goes in x(numerator)?

Answer 1

$\frac{9}{8}>\frac{x}{2}$

we must solve x, so remove the 2 on the denominator multipliying on both sides by 2

$\begin{gathered} \frac{9}{8}\times2>\frac{x}{2}\times2 \\ \\ \frac{18}{8}>x \\ \\ \frac{9}{4}>x \\ \\ x<\frac{9}{4} \end{gathered}$

x values ​​must be less than 9/4