(A) Let $x$ be the smaller of the two consecutive odd natural numbers,so the other one is $x+2$.According to the problem:$x > 10$ $(1)$$x + (x + 2) <

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$(11, 13), (13, 15), (15, 17), (17, 19)$

(A) Let $x$ be the smaller of the two consecutive odd natural numbers,so the other one is $x+2$.According to the problem:$x > 10$ $(1)$$x + (x + 2) Solving $(2)$:$2x + 2 $2x $x From $(1)$ and $(3)$,we have $10 Since $x$ is an odd natural number,the possible values for $x$ are $11, 13, 15, 17$.Thus,the pairs $(x, x+2)$ are:$(11, 13), (13, 15), (15, 17), (17, 19)$.

Class 11 Mathematics Linear Inequalities Word problem of Linear inequalities

Medium

Find all pairs of consecutive odd natural numbers,both of which are larger than $10$,such that their sum is less than $40$.

A
$(11, 13), (13, 15), (15, 17), (17, 19)$
B
$(11, 13), (13, 15), (15, 17), (17, 19), (19, 21)$
C
$(9, 11), (11, 13), (13, 15), (15, 17)$
D
$(13, 15), (15, 17), (17, 19), (19, 21)$

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Word problem of Linear inequalities

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Find all pairs of consecutive odd natural numbers,both of which are larger than $10$,such that their sum is less than $40$.

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In a manufacturing company,the cost and revenue functions of a product are given by $C(x) = 500 + \frac{5}{2}x$ and $R(x) = 3x$,where $x$ is the number of items produced and sold. How many items must be sold to realize no profit or loss? Is there any profit?

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