[tex]2|3f-7|+5 < 11\qquad\text{subtract 5 from both sides}\\\\2|3f-7| < 6\qquad\text{divide both sides by 2}\\\\|3f-7| < 3\iff3f-7 < 3\ \wedge\ 3f-7>-3\qquad\text{add 7 to both sides}\\\\3f<10\ \wedge\ 3f>4\qquad\text{divide both sides by 3}\\\\f<\dfrac{10}{3}\ \wedge\ f>\dfrac{4}{3}\Rightarrow\dfrac{4}{3}< f<\dfrac{10}{3}[/tex]
