Answer:
The value that makes the given inequality true is:
a=4
Step-by-step explanation:
We have to find the value of x such that:
[tex]\dfrac{2}{x}>\dfrac{4}{12}\\\\\\i.e.\\\\\dfrac{2}{x}>\dfrac{1}{3}[/tex]
Now we proceed with the help of the options.
a)
when x=4
[tex]\dfrac{2}{4}=\dfrac{1}{2}>\dfrac{1}{3}[/tex]
Hence, option a is true.
b)
when x=6.
then,
[tex]\dfrac{2}{6}=\dfrac{1}{3}[/tex] which is not greater than [tex]\dfrac{1}{3}[/tex].
Hence, option b is incorrect.
c)
when x=12.
then,
[tex]\dfrac{2}{12}=\dfrac{1}{6}[/tex] which is not greater than [tex]\dfrac{1}{3}[/tex].
Hence, option c is incorrect.
d)
when x=24 then,
[tex]\dfrac{2}{24}=\dfrac{1}{12}[/tex] which is not greater than [tex]\dfrac{1}{3}[/tex].
Hence, option d is incorrect.
Answer:
The answer is 4 or A
Step-by-step explanation:
hope this helps have a nice day :D
