Respuesta :

r could be anything. But when you multiply it with 6 it should give you a result of a number less than 3. 
Example: if r=0.1, 0.1x6=0.6 which is less than or equal to 3.
The greatest number r can be is 1/2

Answer:

[tex]6r\leq 3[/tex]

[tex]r\leq \frac{1}{2}[/tex].

Step-by-step explanation:

Given,

the inequality

[tex]6r\leq 3[/tex]

By dividing  6 on both sides  then we get

[tex]\frac{6r}{6} \leq \frac{3}{6}[/tex]

By simplication we get the inequality

[tex]r\leq \frac{1}{2}[/tex]

It means values of r can be any value less than [tex]\frac{1}{2}[/tex].

Therefore , we get maximum value of [tex]r=\frac{1}{2}[/tex]

Therefore,  the values of r can be  from negative infinity to [tex]\frac{1}{2}[/tex].

Therefore , the set of values of r can be write as [tex]\left\{-\infty,\frac{1}{2} \right ][/tex].