Question

Which values of x satisfy the inequality 0.5x-0.75>3.25

Answer 1

ANSWER

`x\: > \: 8`



Step-by-step explanation

Method 1:


The given inequality is:


`0.5x - 0.75 \: > \: 3.25`

Let us multiply through by 100 to obtain;



`50x - 75 \: > \: 325`


Group the constant terms on the right hand side to get;


`50x \: > \: 325 + 75`


Simplify to obtain,


`50x \: > \: 400`


Divide through by 50 to obtain;


`(50x)/(50) \: > \: (400)/(50)`



`x\: > \: 8`


Method 2:

The given inequality is


`0.5x - 0.75 \: > \: 3.25`

Group like terms to get;


`0.5x \: > \: 3.25 + 0.75`




`0.5x \: > \: 4.00`

Divide both sides by 0.5 to get;


`x \: > \: (4.00)/(0.50)`




`x \: > \: 4 * 2`


`x \: > \:8`