Inequation 5 - 2x ≥ x - 10, where x ∈ N (Natural numbers) Assertion (A): 5 - 2x ≥ x - 10 ⇒ -3x ≥ -15 ⇒ x ≥ 5 ∴ Solution set = {5, 6, 7, 8, ..........} Reason (R): 5 - 2x ≥ x - 10 ⇒ 5 + 10 ≥ 3x ⇒ x ≤ 5 ∴ Solution set = {1, 2, 3, 4, 5} 1. A is true, R is false. 2. A is false, R is true. 3. Both A and R are true and R is correct reason for A. 4. Both A and R are true and R is incorrect reason for A.

A is false, R is true. Reason According to Assertion: 5 - 2x x - 10 ⇒ 5 - 2x + 10 x ⇒ -2x + 15 x ⇒ 15 x + 2x ⇒ 15 3x ⇒ x ⇒ x 5 ∴ Solution set = {1, 2, 3, 4, 5} So, Assertion (A) is false. According to Reason: Solution set = {1, 2, 3, 4, 5} So, Reason (R) is true. Hence, A is false, R is true.

Mathematics

Inequation 5 - 2x ≥ x - 10, where x ∈ N (Natural numbers)
Assertion (A): 5 - 2x ≥ x - 10 ⇒ -3x ≥ -15 ⇒ x ≥ 5
∴ Solution set = {5, 6, 7, 8, ……….}
Reason (R): 5 - 2x ≥ x - 10 ⇒ 5 + 10 ≥ 3x ⇒ x ≤ 5
∴ Solution set = {1, 2, 3, 4, 5}
A is true, R is false.
A is false, R is true.
Both A and R are true and R is correct reason for A.
Both A and R are true and R is incorrect reason for A.

Linear Inequations

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Mathematics

Linear Inequations

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