If a and b are negative real numbers and c is a positive real number, then which of the following is/are correct 1. a - b < a - c 2. If a < b, then a/c < b/c. 3. 1/b < 1/c Select the correct answer using the code given below.?

1 only
2 only
3 only
2 and 3 only

LohaHridoy

4 views

2025-01-04 04:42

1 Answers

AhmedNazir

Option 4 : 2 and 3 only

Statement I:

a - b will be moving in the positive number line because b is negative

a - c will move in negative direction because c is positive

⇒ a - b > a - c

⇒ Statement I is wrong

Statement II:

a < b

⇒ ac < bc

⇒ a/c < b/c

⇒ Statement II is correct

Statement III:

1/b is negative and 1/c is positive

⇒ 1/b < 1/c

⇒ Statement III is correct

∴ Only statement II and III are correct

4 views Answered 2022-09-04 04:29

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