diff --git a/hw/hw5/hw5.fdb_latexmk b/hw/hw5/hw5.fdb_latexmk
index f661ee4..f29065a 100644
--- a/hw/hw5/hw5.fdb_latexmk
+++ b/hw/hw5/hw5.fdb_latexmk
@@ -1,7 +1,7 @@
# Fdb version 4
-["pdflatex"] 1696985014 "/home/rushil/school/math/hw/hw5/hw5.tex" "hw5.pdf" "hw5" 1696985015 0
+["pdflatex"] 1696985184 "/home/rushil/school/math/hw/hw5/hw5.tex" "hw5.pdf" "hw5" 1696985184 0
"/etc/texmf/web2c/texmf.cnf" 1693368362 475 c0e671620eb5563b2130f56340a5fde8 ""
- "/home/rushil/school/math/hw/hw5/hw5.tex" 1696985014 10799 b4ca240681f07459cc3314b003c3e413 ""
+ "/home/rushil/school/math/hw/hw5/hw5.tex" 1696985183 10795 c3ecd31e4c963c0a6444d89b0c163c0e ""
"/usr/share/texlive/texmf-dist/fonts/map/fontname/texfonts.map" 1577235249 3524 cb3e574dea2d1052e39280babc910dc8 ""
"/usr/share/texlive/texmf-dist/fonts/tfm/public/amsfonts/cmextra/cmex7.tfm" 1246382020 1004 54797486969f23fa377b128694d548df ""
"/usr/share/texlive/texmf-dist/fonts/tfm/public/amsfonts/cmextra/cmex8.tfm" 1246382020 988 bdf658c3bfc2d96d3c8b02cfc1c94c20 ""
@@ -152,8 +152,8 @@
"/usr/share/texmf/web2c/texmf.cnf" 1681034085 39561 34c98e380bf7c7201ee6a7909aff625a ""
"/var/lib/texmf/fonts/map/pdftex/updmap/pdftex.map" 1693368379 4623455 fa0568a71dd9a288d6c226ee477506c6 ""
"/var/lib/texmf/web2c/pdftex/pdflatex.fmt" 1693368408 7880218 5644a8bb2704ddc1060e0c139ce5389a ""
- "hw5.aux" 1696985015 195 5f40eaf408ff79ba46902478f1cd62f4 "pdflatex"
- "hw5.tex" 1696985014 10799 b4ca240681f07459cc3314b003c3e413 ""
+ "hw5.aux" 1696985184 195 5f40eaf408ff79ba46902478f1cd62f4 "pdflatex"
+ "hw5.tex" 1696985183 10795 c3ecd31e4c963c0a6444d89b0c163c0e ""
(generated)
"hw5.aux"
"hw5.log"
diff --git a/hw/hw5/hw5.log b/hw/hw5/hw5.log
index aebeee3..d9280d1 100644
--- a/hw/hw5/hw5.log
+++ b/hw/hw5/hw5.log
@@ -1,4 +1,4 @@
-This is pdfTeX, Version 3.141592653-2.6-1.40.24 (TeX Live 2022/Debian) (preloaded format=pdflatex 2023.8.30) 10 OCT 2023 20:43
+This is pdfTeX, Version 3.141592653-2.6-1.40.24 (TeX Live 2022/Debian) (preloaded format=pdflatex 2023.8.30) 10 OCT 2023 20:46
entering extended mode
restricted \write18 enabled.
file:line:error style messages enabled.
@@ -504,7 +504,7 @@ Here is how much of TeX's memory you used:
1141 hyphenation exceptions out of 8191
102i,14n,104p,445b,318s stack positions out of 10000i,1000n,20000p,200000b,200000s
</usr/share/texlive/texmf-dist/fonts/type1/public/amsfonts/cm/cmbx10.pfb></usr/share/texlive/texmf-dist/fonts/type1/public/amsfonts/cm/cmbx12.pfb></usr/share/texlive/texmf-dist/fonts/type1/public/amsfonts/cm/cmbx9.pfb></usr/share/texlive/texmf-dist/fonts/type1/public/amsfonts/cm/cmex10.pfb></usr/share/texlive/texmf-dist/fonts/type1/public/amsfonts/cm/cmmi10.pfb></usr/share/texlive/texmf-dist/fonts/type1/public/amsfonts/cm/cmmi7.pfb></usr/share/texlive/texmf-dist/fonts/type1/public/amsfonts/cm/cmr10.pfb></usr/share/texlive/texmf-dist/fonts/type1/public/amsfonts/cm/cmr5.pfb></usr/share/texlive/texmf-dist/fonts/type1/public/amsfonts/cm/cmr7.pfb></usr/share/texlive/texmf-dist/fonts/type1/public/amsfonts/cm/cmr9.pfb></usr/share/texlive/texmf-dist/fonts/type1/public/amsfonts/cm/cmsl10.pfb></usr/share/texlive/texmf-dist/fonts/type1/public/amsfonts/cm/cmsy10.pfb></usr/share/texlive/texmf-dist/fonts/type1/public/amsfonts/cm/cmsy7.pfb></usr/share/texlive/texmf-dist/fonts/type1/public/amsfonts/cm/cmti10.pfb></usr/share/texlive/texmf-dist/fonts/type1/public/amsfonts/cm/cmti12.pfb></usr/share/texlive/texmf-dist/fonts/type1/public/amsfonts/symbols/msam10.pfb></usr/share/texlive/texmf-dist/fonts/type1/public/amsfonts/symbols/msbm10.pfb>
-Output written on hw5.pdf (10 pages, 190827 bytes).
+Output written on hw5.pdf (10 pages, 190913 bytes).
PDF statistics:
125 PDF objects out of 1000 (max. 8388607)
78 compressed objects within 1 object stream
diff --git a/hw/hw5/hw5.pdf b/hw/hw5/hw5.pdf
index 522c590..2b141cf 100644
Binary files a/hw/hw5/hw5.pdf and b/hw/hw5/hw5.pdf differ
diff --git a/hw/hw5/hw5.synctex.gz b/hw/hw5/hw5.synctex.gz
index de2f0a6..16acb4f 100644
Binary files a/hw/hw5/hw5.synctex.gz and b/hw/hw5/hw5.synctex.gz differ
diff --git a/hw/hw5/hw5.tex b/hw/hw5/hw5.tex
index e4e32af..df873a6 100644
--- a/hw/hw5/hw5.tex
+++ b/hw/hw5/hw5.tex
@@ -283,9 +283,9 @@ Determine whether each of these functions from
Consider these functions from the set of students in a discrete mathematics class. Under what conditions is the function one-to-one if it assigns to a student his or her
\begin{enumerate}[a)]
- \item \textbf{mobile phone number.}\\
+ \item \textbf{mobile phone number.}
The function is one-to-one if no students share a phone number, which is expected.
- \item \textbf{student identification number.}\\
+ \item \textbf{student identification number.}
The function is one-to-one if no students share an ID number, which is expected.
\item \textbf{final grade in the class.}
The function is one-to-one iff no students share a final grade in the class.