Question

Given that 6x-4 >20,the range of values of x is

Answer 1

Solution:

• Given that 6x-4 >20

$\mapsto \sf 6x-4>20\\\\\longmapsyo \textbf{Adding 4 on both sides.}\\\\\implies\sf 6x\;\;\cancel{-4}+\cancel{4}>20+4\\\\\implies\sf 6x>24\\\\\logmapsto\textbf{Dividing both sides by 6}\\\\\implies \frac{\cancel{6}x}{\cancel{6}}> \frac{24}{6}\\\\\implies \sf x > 4$

Here,

x is greater than 4. Hence, all numbers greater than 4 is rangle of x.

Therefore,

x can lies between 5 and infinity. [tex] x =(5,∞)