Answer:
As per the statement:
We have an inequality: [tex]65 > 15x[/tex]
Divide both sides by 15 we get;
[tex]\frac{65}{15} > x[/tex]
or
[tex]x < \frac{13}{3}[/tex]
The solution set for this inequality is: [tex](-\infty , \frac{13}{3})[/tex]
Take any three values of x to make the given inequality.
Put x = 1
[tex]65 > 15(1) = 15[/tex]
[tex]65 > 15[/tex] True.
Put x = 2
[tex]65 > 15(2)[/tex]
[tex]65 > 30[/tex] True.
Put x = 3
[tex]65 > 15(3)[/tex]
[tex]65 > 45[/tex] True.
Therefore, the values of x that would make this inequality [tex]65 > 15x[/tex] true are:
x = 1, 2 and 3
