Linear Inequali...

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

Which of the following is correct ?

Consider the linear inequations and solve them graphically:
$$3x-y-2 > 0;\,\,\, x+y \leq 4;\,\,\, x >0;\,\,\, y \geq 0$$.

The quantity of $$A$$ and $$B$$ in one day for which profit will be maximum is:

A manufacturer produces two products $$A$$ and $$B$$. Product $$A$$ fetches him a profit of Rs. $$24$$ and product $$B$$ fetches him a profit of Rs. $$14$$. It takes $$15$$ minutes to manufacture one unit of product $$A$$ and $$5$$ minutes to manufacture one unit of product $$B$$. There is a limit of $$30$$ units to the quantity of $$B$$ of manufactured due to a constraint on the availability of materials. The minimum profit that the company decides to make is Rs. $$1000$$. The workers work for a maximum of $$10$$ hours a day. Find the maximum daily profit.

Solve the following inequality and show it graphically:
$$\dfrac{x+4}{x-3}>0,x\in W$$

Solve the following inequality and show it graphically:
$$|x+3|<4 ,x\in R$$

If the product of $$n$$ positive numbers is $$1$$, then their sum is

Solve the following inequality and show it graphically:
$$|x+3|<4 ,x\in Z$$

Find solution of following inequality, also show it graphically:
$$x-5\geq-7,x\in Z$$

Solve the following inequality and show it graphically:
$$-2<x+3<5,x\in N$$

The shaded region in the figure is the solution set of the inequations.