Question

Le N be the natural number 7n-4>43 and 2n-1>14​

Answer 1

Answer:

n $\geq$ 8

Step-by-step explanation:

7n-4 $>$ 43

7n $>$ 47

n $>$ 6.7

Since n is a natural number,

n $\geq$ 7

2n-1 $>$ 14

2n $>$ 15

n $>$ 7.5

Since n is a natural number,

n $\geq$ 8

Combining the two equations,

n $\geq$ 8

Answer 2

Correct question is "Let n be the natural number, 7n-4>43 and 2n-1>14 then find value of n?"

Answer:

Required answer is $n > 8$

Step-by-step explanation:

Given,

$7n - 4 > 43....(1)$

and

$2n - 1 > 14....(2)$

From (1),

$7n - 4 > 43 \\ 7n > 43 + 4 \\ 7n > 47 \\ n > \frac{47}{7}$

$n > 6.7 ....(3)$

and from (2),

$2n - 1 > 14 \\ 2n > 14 + 1 \\ 2n > 15 \\ n > \frac{15}{2}$

$n > 7.5.....(4)$

We are combining (3) and (4) and get

$n > 7.5$

But here n is a Natural number and Decimal numbers are not natural numbers.

So we can say

$n > 8$

This is a problem of Algebra.

Some important Algebra formulas.

(a + b)² = a² + 2ab + b²

(a − b)² = a² − 2ab − b²

(a + b)³ = a³ + 3a²b + 3ab² + b³

(a - b)³ = a³ - 3a²b + 3ab² - b³

a³ + b³ = (a + b)³ − 3ab(a + b)

a³ - b³ = (a -b)³ + 3ab(a - b)

a² − b² = (a + b)(a − b)

a² + b² = (a + b)² − 2ab

a² + b² = (a − b)² + 2ab

a³ − b³ = (a − b)(a² + ab + b²)

a³ + b³ = (a + b)(a² − ab + b²)

Know more about Algebra,

1) https://brainly.in/question/13024124

2) https://brainly.in/question/1169549