![image](https://tex.z-dn.net/?f=1%292+%5E%7Bx%2B2%7D%2B2+%5E%7Bx%7D%3E20+%5C%5C+2+%5E%7Bx%7D%5Ccdot+%282+%5E%7B2%7D%2B1%29%3E20+%5C%5C++2+%5E%7Bx%7D%5Ccdot+5%3E20++%5C%5C+2+%5E%7Bx%7D%3E4+++%5C%5C++2+%5E%7Bx%7D%3E2+%5E%7B2%7D++%5C%5C+x%3E2)
20 \\ 2 ^{x}\cdot (2 ^{2}+1)>20 \\ 2 ^{x}\cdot 5>20 \\ 2 ^{x}>4 \\ 2 ^{x}>2 ^{2} \\ x>2" alt="1)2 ^{x+2}+2 ^{x}>20 \\ 2 ^{x}\cdot (2 ^{2}+1)>20 \\ 2 ^{x}\cdot 5>20 \\ 2 ^{x}>4 \\ 2 ^{x}>2 ^{2} \\ x>2" align="absmiddle" class="latex-formula">
![image](https://tex.z-dn.net/?f=2%294+%5E%7Bx%2B1%7D%2B4%5E%7Bx%7D%3E1%2C25+%5C%5C+4+%5E%7Bx%7D%5Ccdot+%284%2B1%29%3E1%2C25+%5C%5C+4+%5E%7Bx%7D%5Ccdot+5%3E1%2C25+%5C%5C+4+%5E%7Bx%7D%3E0%2C25+%5C%5C+4+%5E%7Bx%7D%3E4+%5E%7B-1%7D+%5C%5C+x%3E-1)
1,25 \\ 4 ^{x}\cdot (4+1)>1,25 \\ 4 ^{x}\cdot 5>1,25 \\ 4 ^{x}>0,25 \\ 4 ^{x}>4 ^{-1} \\ x>-1" alt="2)4 ^{x+1}+4^{x}>1,25 \\ 4 ^{x}\cdot (4+1)>1,25 \\ 4 ^{x}\cdot 5>1,25 \\ 4 ^{x}>0,25 \\ 4 ^{x}>4 ^{-1} \\ x>-1" align="absmiddle" class="latex-formula">