Question

. Describe a real life scenario where inequalities are used and state the inequality.

Answer 1

Sure

Answer 2

thanks

Answer 3

For example, the height of all the students in your class is less
than 160 cm. Your classroom can occupy atmost 60 tables or chairs or both. Here we get certain statements involving a sign ‘<’ (less than), ‘>’ (greater than), ‘≤’ (less than or equal) and ≥ (greater than or equal) which are known as

"inequalities".

Answer 4

Ravi goes to market with Rs 200 to buy rice, which is available in packets of 1kg. The price of one packet of rice is Rs 30. If x denotes the number of packets of rice, which he buys, then the total amount spent by him is Rs 30x. Since, he has to buy rice in packets only, he may not be able to spend the entire amount of Rs 200. (Why?)
Hence
30x<200 ...................................................... (1)
Clearly the statement (1) is not an equation as it does not involve the sign of equality

Answer 5

If my bank account has 2 times what I made this month, I will spend some of it. Let x = amount of money in bank, and y = amount I made this month.

So,

If x > 2y then I will spend some of it.

Answer 6

Reshma has Rs 120 and wants to buy some registers and pens. The cost of one register is Rs 40 and that of a pen is Rs 20. In this case, if x denotes the number of registers and y, the number of pens which Reshma buys, then the total amount spent by
her is Rs (40x +20y) and we have :-

40x +20y≤120 .................................... (2)

Since in this case the total amount spent may be upto Rs 120. Note that the statement (2) consists of two statements

40x +20y <120 ................................... (3)
and
40x +20y =120 ........................................ (4)
Statement (3) is not an equation, i.e., it is an inequality while statement (4) is an equation.