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Exercise 9 · Q1

Q.Mr. X and Mr. Y have net worth of ₹1.93 crores INR and −0.22-0.22 crores INR. Represent the above information in the form of inequality.

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✓ Free question

A larger value stands to the right on the number line, so with net worths 1.931.93 and −0.22-0.22 crores the inequality is 1.93>−0.221.93 > -0.22.

A numerical inequality compares two real numbers: for a,b∈Ra,b\in\mathbb{R}, either a>ba>b, a=ba=b, or a<ba<b. A positive number is always greater than a negative number.

  1. Given: net worth of Mr. X =₹1.93= ₹1.93 crores; net worth of Mr. Y =₹−0.22= ₹-0.22 crores (a debt, hence negative).
  2. Compare: 1.931.93 is positive and −0.22-0.22 is negative, so 1.931.93 lies to the right of −0.22-0.22 on the number line.
  3. Inequality:

1.93>−0.221.93 > -0.22

i.e. (Net worth of X) >> (Net worth of Y).

✓Final answer

₹1.93 crores>₹(−0.22) crores₹1.93\text{ crores} > ₹(-0.22)\text{ crores}, so Mr. X's net worth is greater than Mr. Y's.

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