To solve the inequality, we have to isolate x. Here's how:
\(5x-7\ \textless \ 2x-1 \\ (5x-7)+7\ \textless \ (2x-1)+7 \\ 5x\ \textless \ 2x+6 \\ (5x)-2x\ \textless \ (2x+6)-2x \\ 3x\ \textless \ 6 \\ \frac{3x}{3} \ \textless \ \frac{6}{3} \\ x\ \textless \ 2\)
Your answer isĀ x<2.
Hope this helps!