Assertion (A): If $x^{2} > 9$ , then $x > 3$ .
Reason (R): $x^{2} > 9$ means $x < -3$ or $x > 3$ .

Both A and R are true, and R is the correct explanation of A.Correct answerYour answerBoth A and R are true, but R is not the correct explanation of A.Correct answerYour answerA is true, but R is false.Correct answerYour answerA is false, but R is true.Correct answerYour answer

Show the answer and explanation

CorrectNot quiteAnswer D

Correct answer: D

R is true: $x^{2} - 9 = (x - 3)(x + 3) > 0$ outside the roots.
A is false: $x = -4$ gives $x^{2} = 16 > 9$ but $x < 3$ .

Concept: Square roots and inequalities
Typical timeTypical: 90 s
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The rule this testsThe laws of inequality

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Assertion (A): If x2>9x^{2} > 9x2>9, then x>3x > 3x>3.Reason (R): x2>9x^{2} > 9x2>9 means x<−3x < -3x<−3 or x>3x > 3x>3.

Explanation

Assertion (A): If $x^{2} > 9$ , then $x > 3$ .
Reason (R): $x^{2} > 9$ means $x < -3$ or $x > 3$ .