Answer
n>- 19/33
1 Simplify 10n+4-n10n+4−n to 9n+49n+4.
1+4(-6n-4)<9n+41+4(−6n−4)<9n+4
2 Expand.
1-24n-16<9n+41−24n−16<9n+4
3 Simplify 1-24n-161−24n−16 to -24n-15−24n−15.
-24n-15<9n+4−24n−15<9n+4
4 Add 24n24n to both sides.
-15<9n+4+24n−15<9n+4+24n
5 Simplify 9n+4+24n9n+4+24n to 33n+433n+4.
-15<33n+4−15<33n+4
6 Subtract 44 from both sides.
-15-4<33n−15−4<33n
7 Simplify -15-4−15−4 to -19−19.
-19<33n−19<33n
8 Divide both sides by 3333.
-\frac{19}{33}<n−
33
19
<n
9 Switch sides.
n>-\frac{19}{33}n>−
33
19
Done
