Mathematics
If x ≤ -5, x ∈ W
Assertion (A): The above inequation has no solution.
Reason (R): The whole numbers are always positive.
Assertion (A) is true, but Reason (R) is false.
Assertion (A) is false, but Reason (R) is true.
Both Assertion (A) and Reason (R) are correct, and Reason (R) is the correct reason for Assertion (A).
Both Assertion (A) and Reason (R) are correct, and Reason (R) is incorrect reason for Assertion (A).
Linear Inequations
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Answer
Given, inequation :
⇒ x ≤ -5
⇒ x = {-5, -6, -7, -8, ……..}
We are looking for whole numbers that are less than or equal to −5.
But since whole numbers start from 0 and go upward, there are no whole numbers ≤ -5.
So, assertion (A) is true.
Whole numbers include 0, which is neither positive nor negative.
So whole numbers are non-negative, not always positive.
So, reason (R) is false.
Thus, Assertion (A) is true, but Reason (R) is false.
Hence, option 1 is the correct option.
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Related Questions
The solution set for the inequation 2x + 4 ≤ 14, x ∈ W is :
{1, 2, 3, 4, 5}
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{1, 2, 3, 4}
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Given, x + 2 ≤ and x is a prime number. The solution set for x is :
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If -5 < x and x ≤ 6, x ∈ R
Assertion (A): The above inequation has no solution.
Reason (R): Infinitely many real numbers lie between -5 and 6.
Assertion (A) is true, but Reason (R) is false.
Assertion (A) is false, but Reason (R) is true.
Both Assertion (A) and Reason (R) are correct, and Reason (R) is the correct reason for Assertion (A).
Both Assertion (A) and Reason (R) are correct, and Reason (R) is incorrect reason for Assertion (A).
If -3 ≤ x < , x ∈ Z
Assertion (A): x has nine values.
Reason (R): x = 5 is included in the solution set.
Assertion (A) is true, but Reason (R) is false.
Assertion (A) is false, but Reason (R) is true.
Both Assertion (A) and Reason (R) are correct, and Reason (R) is the correct reason for Assertion (A).
Both Assertion (A) and Reason (R) are correct, and Reason (R) is incorrect reason for Assertion (A).