Mathematics
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).
Linear Inequations
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Answer
Given,
⇒ -3 ≤ x <
⇒ -3 ≤ x <
⇒ -3 ≤ x < 5.66…..
Since, x ∈ Z and -3 ≤ x < 5.66…..
⇒ x = {-3, -2, -1, 0, 1, 2, 3, 4, 5}
Thus, x has nine values.
So, assertion (A) is true.
x = 5 is included in the solution set.
So, reason (R) is true but, reason (R) does not clearly explains assertion (A).
Thus, both Assertion (A) and Reason (R) are correct, and Reason (R) is the incorrect reason for Assertion (A).
Hence, option 4 is the correct option.
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