Question

Solve for x
-13 > 2x – 5 or 2x – 5 > 17

Answer 1

`~~~~~-13 > 2x-5~~~~~ \text{or}~~~~~~~2x -5 > 17\\\\\implies -13+5 > 2x~~~~~\text{or}~~~~~~~ 2x > 17+5\\\\\implies -8 > 2x~~~~~~~~~~~~\text{or}~~~~~~~2x > 22\\\\\implies -\frac 82 > x~~~~~~~~~~~~~\text{or}~~~~~~~x > \frac{22}2\\\\\implies -4 > x~~~~~~~~~~~~~~\text{or}~~~~~~~x > 11\\\\\implies x < -4~~~~~~~~~~~~~~\text{or}~~~~~~~x > 11\\\\\text{Hence,}~ x < -4 ~\dispaystyle \vee ~ x > 11`