diff --git a/main.tex b/main.tex
index 24208bf..d58e861 100644
--- a/main.tex
+++ b/main.tex
@@ -337,7 +337,7 @@ The real gap between $w_\lambda^*(C^*)$ and $L(\lambda^*)$ is
 \end{aligned}
 \]
 Note that everything in blue is non-negative.
-And we get that upperbound of $\lambda^*b$ by throwing away all blue terms and use $c(F^*)\leq b$.
+And we get that upperbound of $\lambda^*b$ by throwing away all blue terms and using $c(F^*)\leq b$.
 
 Can we show that the gap is 0 or much smaller than 2?
 \end{remark}