Question

How to solve 2|3f-7|+5<11

Answer 1

`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<(10)/(3)\ \wedge\ f>(4)/(3)\Rightarrow(4)/(3)< f<(10)/(3)`