Решите неравенство \(\displaystyle 2+lo{{g}_{2}}\sqrt{x+1}\gt 1-lo{{g}_{\frac{1}{2}}}\sqrt{4-{{x}^{2}}}.\)

• \(\displaystyle x\in \left( 0;2 \right)\)
• \(\displaystyle x\in \left( 0,1;2 \right)\)
• \(\displaystyle x\in \left( 0;4 \right)\)
• \(\displaystyle x\in \left( -2;2 \right)\)