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Diano4ka-milaya [45]
3 years ago
15

If twice a number is at least three less than four times the number, which of the following are true? Let n represent the number

.
Mathematics
1 answer:
olga_2 [115]3 years ago
7 0

Answer:


Step-by-step explanation:

Let n represent the number

Twice the number =2n

4 times the number = 4n

Given that twice the number is atleast 3 less than four times the number

Algebraically this can be written as

2n≤4n-3

We can add 3 to both sides2n+3\leq 4n\\-2n         -2n\\3\leq 2n\\Or n\geq 1.5

So n should be atleast 1.5

If n is natural number or integer then least value of n is 2.

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50 POINTS WILL GIVE BRAINIEST. Which of the following numbers are irrational?
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Answer:

\sf \dfrac{\pi}{3}\:\:and\:\:\sqrt[\sf 3]{\sf 25}

Step-by-step explanation:

<u>Definitions</u>

Integer: A whole number that can be positive, negative, or zero.

Rational Number: A number that can be expressed as the ratio of two integers (where the denominator does not equal zero).

Irrational Number: A real number that <u>cannot</u> be written as a rational number.

\sf -8.2183 \times 10000=-82183

\implies \sf -8.2183=-\dfrac{82183}{10000}

Therefore, -8.2183 can be expressed as a <u>rational number</u>.

π is an <u>infinite decimal</u>, so it cannot be expressed as a rational number.  

\textsf{Therefore},\:\dfrac{\pi}{3}\:\textsf{is irrational}.

\sqrt[\sf 3]{\sf 25} is an irrational number.

\sf 9+ \sqrt{4}=9+\sqrt{2^2}=9+2=11

As 11 can be expressed as ¹¹/₁ then 9 + √4 is <u>rational</u>.

<u>Conclusion</u>

Therefore, the numbers that are irrational are:

\sf \dfrac{\pi}{3}\:\:and\:\:\sqrt[\sf 3]{\sf 25}

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