Question

In the following question, two statements (i) and (ii) are given. Choose the valid statement.

1. 4x + 1 ≤ x + 10 gives x ≥ 3.
2. 3x − 1 > x gives x > `-1/2`

पर्याय

• Only (i)

• Only (ii)

• Both (i) and (ii)

• Neither (i) nor (ii)

Answer 1

Neither (i) nor (ii)

Explanation:

Statement (i)

4x + 1 ≤ x + 10

⇒ 4x − x ≤ 10 − 1

⇒ 3x ≤ 9

⇒ x ≤ 3, not x ≥ 3

Statement (ii)

3x − 1 > x

⇒ 3x − x > 1

⇒ 2x > 1

⇒ x > `1/2, "not"  x > −1/2`