Question

Assertion: `(x-2)/3 >= 2, x ∈ R` gives x ≥ 8.

Reason: a > b ⇒ −a < −b

Options

• Both Assertion (A) and Reason (R) are true and Reason (R) is the correct explanation of Assertion (A).

• Both Assertion (A) and Reason (R) are true but Reason (R) is not the correct explanation of Assertion (A).

• Assertion (A) is true but Reason (R) is false.

• Assertion (A) is false but Reason (R) is true.

Answer 1

Both Assertion (A) and Reason (R) are true but Reason (R) is not the correct explanation of Assertion (A).

Explanation:

Given:

`(x-2)/3 >= 2`

Multiply both sides by 3:

x − 2 ≥ 6

⇒ x ≥ 8

The assertion is true.

Reason states:

a > b

⇒ −a < −b

This is a true property of inequalities.