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

ANSWER
[tex] x\: > \: 8[/tex]



EXPLANATION

Method 1:


The given inequality is:

[tex]0.5x - 0.75 \: > \: 3.25[/tex]

Let us multiply through by 100 to obtain;


[tex]50x - 75 \: > \: 325[/tex]


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

[tex]50x \: > \: 325 + 75[/tex]


Simplify to obtain,

[tex]50x \: > \: 400[/tex]


Divide through by 50 to obtain;

[tex] \frac{50x}{50} \: > \: \frac{400}{50} [/tex]


[tex] x\: > \: 8[/tex]


Method 2:

The given inequality is

[tex]0.5x - 0.75 \: > \: 3.25[/tex]

Group like terms to get;

[tex]0.5x \: > \: 3.25 + 0.75[/tex]



[tex]0.5x \: > \: 4.00[/tex]

Divide both sides by 0.5 to get;

[tex]x \: > \: \frac{4.00}{0.50} [/tex]



[tex]x \: > \: 4 \times 2[/tex]

[tex]x \: > \:8[/tex]