Question

Which situation can be represented by 80x > 150 + 50x?

Answer 1

All numbers greater than 5, i.e.,
`x>5` .

Explanation:

The given inequality is

`80x>150+50x`

Isolate variable terms on one side to find the solution.

Subtract 50x from both sides.

`80x-50x>150+50x-50x`

`30x>150`

Divide both sides by 30.

`(30x)/(30)>(150)/(30)`

`x>5`

It means, all the numbers which are greater than 5, are the solutions of the given inequality and 5 is not included in the solution set.