Mathematics: Which value would make the statement true? 2/? 4/12 a=4 b=6 c=12 d=24

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Which value would make the statement true? 2/? 4/12

pbenavid9849

05.01.2022

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:

$\dfrac{2}{x}\dfrac{4}{12}\\\\\\i.e.\\\\\dfrac{2}{x}\dfrac{1}{3}$

Now we proceed with the help of the options.

when x=4

$\dfrac{2}{4}=\dfrac{1}{2}\dfrac{1}{3}$

Hence, option a is true.

when x=6.

then,

$\dfrac{2}{6}=\dfrac{1}{3}$ which is not greater than $\dfrac{1}{3}$ .

Hence, option b is incorrect.

when x=12.

then,

$\dfrac{2}{12}=\dfrac{1}{6}$ which is not greater than $\dfrac{1}{3}$ .

Hence, option c is incorrect.

when x=24 then,

$\dfrac{2}{24}=\dfrac{1}{12}$ which is not greater than $\dfrac{1}{3}$ .

Hence, option d is incorrect.

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