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If `x` is real and satisfies `x +2lt sqrt(x +4)`, thenA. `x lt - 2`B. `x gt 0`C. `-3lt x lt 0`D. `-3 lt x lt 4` |
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Answer» Correct Answer - B If `x` is real and satisfies ……….. Given `x+2 gt sqrt(X +4) implies (x +2)^(2)gt (x+4)` `implies x^(2)+4x+4gt x +4 implies x^(2)+3x gt 0` `implies x(x+3)gt 0 implies x lt - 3 or x gt 0` `implies x gt 0 (x+2` must be positive). |
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