Teachoo Quiz

Assertion Reasoning Quiz

Chapter 5 Class 11 Linear Inequalities | 6 questions | about 5 minutes

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Question 1 of 6
Question 1 of 6
Assertion:If a triangle has sides \(x\), \(3x\), and \(3x-2\) cm and perimeter at least \(61\) cm, then the graph of possible \(x\) is \(x\ge9\).
Reason:The words “at least \(61\)” require the inequality \(7x-2>61\).
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Question 2 of 6
Assertion (A): The solution set for the system of inequalities \( x > 5 \) and \( x < -2 \) is an empty set (\( \emptyset \)).
Reason (R): There is no real number that is simultaneously greater than 5 and less than -2.
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Question 3 of 6
Assertion (A): If \( -3x < 12 \), then the solution for real \( x \) is \( x > -4 \).
Reason (R): Both sides of an inequality can be multiplied or divided by a negative number, provided the sign of inequality is reversed.
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Question 4 of 6
Assertion:The common solution shown in the third row is \(2\le x<6\).
Reason:The common solution of two inequalities is obtained by taking the union of their individual solution sets.
x < 66x ≥ 22Common26
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Question 5 of 6
Assertion:The graph represents the solution of \(-8\le 5x-3<7\).
Reason:A double inequality is solved by satisfying both component inequalities simultaneously.
−12
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Question 6 of 6
Assertion:A student scoring \(70\) and \(75\) in the first two tests needs \(x\ge35\) in the third test to have an average of at least \(60\).
Reason:The phrase “at least \(60\)” is translated as an average strictly greater than \(60\).
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