Question

n is a natural number s.t.7n-3>43 & 2n-1<14

Answer 1

this is the answer of your question

Answer 2

SOLUTION

TO DETERMINE

The value of n where n is a natural number such that

7n - 3 > 43 & 2n - 1 < 14

EVALUATION

Here the given inequalities are

7n - 3 > 43 & 2n - 1 < 14

Now

$\sf \: 7n - 3 > 43$

$\displaystyle \sf \implies 7n > 46$

$\displaystyle \sf \implies n > \frac{46}{7} \: \: \: - - - (1)$

Again

$\displaystyle \sf 2n - 1 < 14$

$\displaystyle \sf \implies 2n < 15$

$\displaystyle \sf \implies n < \frac{15}{2}$

From Equation 1 and Equation 2 we get

$\displaystyle \sf \frac{46}{7} < n< \frac{15}{2}$

Since n is a natural number

∴ n = 7

FINAL ANSWER

Hence the required value of n = 7

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