Question

If x, m satisfy the inequations log_1/2 x²³ log_1/2 (x + 2) and 49x² – 4m⁴£ 0, then

• A. mĪ (– –a]
• B. m Ī (–, a)
• C. mĪ (–, – $\sqrt{7}$] Č [$\sqrt{7}$, )
• D. None of these

Answer 1

Answer: (D)

None of these

Answer 2

log_1/2 x² ³ log_1/2 (x + 2)

Ž x² –x –2 £ 0 Ž x Ī [–1, 2] –{0}

and 49x² £ 4m⁴

Ž – $\frac{2}{7}$m² £ x £ $\frac{2}{7}$m²

Ž m Ī$\left\lbrack - \frac{\sqrt{7}}{2},\frac{\sqrt{7}}{2} \right\rbrack$– {0}