Mathematics
Given below is the graphical representation of an inequality on number line.
Assertion (A): It represents real numbers lying between -5 and but not -5 and .
Reason (R): The hole represents absence of the number -5.
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
1 Like
Answer
If the number is represented by x, then :
From the number line, we get :
and x ∈ R.
∴ It represents real numbers lying between -5 and but not -5.
So, assertion (A) is false.
The hole on the number line represents absence of the number -5.
So, reason (R) is true.
Thus, Assertion (A) is false, but Reason (R) is true.
Hence, option 2 is the correct option.
Answered By
1 Like
Related Questions
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).
Solve the inequation : 5x - 2 ≤ 3(3 - x) where x ∈ { -2, -1, 0, 1, 2, 3, 4}. Also represent its solution on the number line.
Solve the inequations : 6x - 5 < 3x + 4, x ∈ I