Mathematics: Which inequality is true?

A) 3Step-by-step explanation:A constant term is a number without a variable. A constant term never changes. The constant term is 3....

Which inequality is true? - id13945139, marahkotelman

davidoj13

14.08.2021

$\boxed{\sf Option \ C \ is \ correct .}$

Step-by-step explanation:

We need to tell which of the given inequality is true . The given inequalities are ,

$\sf A)\pi + 8 2 \\\\\sf C) 3\pi 9 \\\\\sf D) 2\pi - 1 < 5$

Let's check the options one by one .

Option A :-

$\sf\longrightarrow \pi + 8 < 11$

Subtract 8 to both sides ,

$\sf\longrightarrow \pi < 11 - 8$

Simplify ,

$\sf\longrightarrow \pi < 3$

We know the approximate value of pi 3.14 . But the inequality says pi is less than 3 . Therefore the given inequality is incorrect .

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Option B :-

$\sf\longrightarrow \dfrac{\pi}{2} 2$

Multiply both sides by 2 ,

$\sf\longrightarrow \pi 4$

We know the approximate value of pi 3.14 . But the inequality says pi is more than 4 . Therefore the given inequality is incorrect .

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Option C :-

$\sf\longrightarrow 3 \pi 9$

Divide both sides by 3 ,

$\sf\longrightarrow \pi < 9/3$

Simplify ,

$\sf\longrightarrow \pi 3$

We know the approximate value of pi 3.14 .And the inequality says pi is more than 3 . Therefore the given inequality is correct .

Option C is correct .

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