Question

what is the inequality mathamatical sentence for problem a?what is the real world problem for problem b?

Answer 1

The inequality mathematical sentence typically uses symbols to compare two values, such as x > 5. For the real-world problem of equilibrium price and quantity without trade, one would have to analyze supply and demand curves to find where they intersect in a market.

Step-by-step explanation:

The inequality mathematical sentence for problem a is not provided in the details, but typically, this would involve using inequality symbols, such as greater than (>), less than (<), greater than or equal to (≥), or less than or equal to (≤), to show how two values compare to each other. An example in a mathematical context would be x > 5, representing that x is any number greater than 5.

Regarding problem b, which asks for the equilibrium price and quantity in each country in a world without trade, this extends beyond a simple mathematical expression and delves into economics. Normally, to find the equilibrium price and quantity without trade, you would graph supply and demand curves for a market in each country and identify the point where they intersect. This intersection represents the equilibrium, where the quantity of goods supplied equals the quantity demanded at the market price.

Answer 2

a) Cost of a toy car = $c

The amount of money initially owned by Stan = $3

The number of toy cars purchased by Stan = 3

The amount of money initially owned by Frank = $6

The number of toy cars purchased by Frank = 8

If the cost of 1 toy car is $c:

Cost of 3 toy cars = 3c

Cost of 8 toy cars = 8c

Money owned by Stan after his purchase = 3 - 3c

Money owned by Frank after his purchase = 6 - 8c

Stan had more money than frank. This can be interpreted mathematically, in terms of inequalities, as:

3 - 3c > 6 - 8c

The above is the inequality that corresponds to the given information

b) The given inequality is:

3x + 2 < 2x + 10

Real world problem:

Playing a ludo game at a funfare costs $x. The management says the entry fee for the funfare in December is $2 while in any other month of the year, the entry fee is $10. James, who visited the funfare in December, played 3 rounds of ludo games, while John, who visited the funfare in September, played 2 rounds of ludo games . The total money paid by John is less than the money paid by James.