Question

W over 3< 1 or 3w+5>11

Answer 1

Explanation:

`(w)/(3)<1\qquad\text{multiply both sides by 3}\\\\3\!\!\!\!\diagup\cdot(w)/(3\!\!\!\!\diagup)<3\cdot1\\\\w<3\\===========================\\3w+5>11\qquad\text{subtract 5 from both sides}\\\\3w+5-5>11-5\\\\3w>6\qquad\text{divide both sides by 3}\\\\(3w)/(3)>(6)/(3)\\\\w>2\\\\`

`\text{If is}\ \bold{OR},\ \text{then}:\\\\w<3\ or\ w>2\Rightarrow w\in\mathbb{R}\ /\text{any real number/}\\\\\text{If there is a mistake, and it should be}\ \bold{AND},\ \text{then}:\\\\w<3\ and\ w>2\Rightarrow 2<w<3\to w\in(2;\ 3)`