Answer:
A. [tex]-\frac{9}{4}\le \:m\le \frac{9}{4}[/tex]
B. [tex]-\frac{58}{5}<z<14[/tex]
C. [tex]k<-\frac{19}{3}[/tex] or [tex]k>7[/tex]
Step-by-step explanation:
[tex]\left|\frac{m+3m}{3}\right|-1\le \:2[/tex]
[tex]\left|\frac{m+3m}{3}\right|\le \:3[/tex]
[tex]-3\le \frac{m+3m}{3}\le \:3[/tex]
[tex]m\ge \:-\frac{9}{4}[/tex]
[tex]m\le \frac{9}{4}[/tex]
[tex]-\frac{9}{4}\le \:m\le \frac{9}{4}[/tex]
____________________
[tex]\left|\frac{5z-6}{8}\right|<8[/tex]
[tex]-8<\frac{5z-6}{8}<8[/tex]
[tex]z>-\frac{58}{5}[/tex]
[tex]z<14[/tex]
[tex]-\frac{58}{5}<z<14[/tex]
____________________
[tex]5<\left|\frac{3k-1}{4}\right|[/tex]
[tex]\left|\frac{3k-1}{4}\right|>5[/tex]
[tex]k<-\frac{19}{3}[/tex]
[tex]k>7[/tex]
[tex]k<-\frac{19}{3}[/tex]
[tex]k>7[/tex]
