\[\boxed{\mathbf{236}\mathbf{.}}\]
\[1)\ \left( \frac{1}{3} \right)^{x} \geq x + 1\]
\[y = \left( \frac{1}{3} \right)^{x} - показательная\ \]
\[функция.\]
\[x\] | \[- 2\] | \[- 1\] | \[0\] |
---|---|---|---|
\[y\] | \[9\] | \[3\] | \[1\] |
\[y = x + 1 - уравнение\ прямой.\]
\[x\] | \[0\] | \[1\] |
---|---|---|
\[y\] | \[1\] | \[2\] |
\[Ответ:\ \ x \leq 0.\]
\[2)\ \left( \frac{1}{2} \right)^{x} < x - \frac{1}{2}\]
\[y = \left( \frac{1}{2} \right)^{x} - показательная\ \]
\[функция.\]
\[x\] | \[- 3\] | \[- 2\] | \[- 1\] | \[0\] |
---|---|---|---|---|
\[y\] | \[8\] | \[4\] | \[2\] | \[1\] |
\[y = x - \frac{1}{2} - уравнение\ прямой.\]
\[x\] | \[0\] | \[1\] |
---|---|---|
\[y\] | \[- 0,5\] | \[0,5\] |
\[Ответ:\ \ x > 1.\]
\[3)\ 2^{x} \leq 9 - \frac{1}{3}x\]
\[y = 2^{x} - показательная\ \]
\[функция.\]
\[x\] | \[0\] | \[1\] | \[2\] | \[3\] |
---|---|---|---|---|
\[y\] | \[1\] | \[2\] | \[4\] | \[8\] |
\[y = 9 - \frac{1}{3}x - уравнение\ \]
\[прямой.\]
\[x\] | \[0\] | \[3\] |
---|---|---|
\[y\] | \[9\] | \[8\] |
\[Ответ:\ \ x \leq 3.\]
\[4)\ 3^{x} > - \frac{2}{3}x - \frac{1}{3}\]
\[y = 3^{x} - показательная\ \]
\[функция.\]
\[x\] | \[0\] | \[1\] | \[2\] |
---|---|---|---|
\[y\] | \[1\] | \[3\] | \[9\] |
\[y = - \frac{2}{3}x - \frac{1}{3} - уравнение\ \]
\[прямой.\]
\[x\] | \[- 2\] | \[1\] |
---|---|---|
\[y\] | \[1\] | \[- 1\] |
\[Ответ:\ \ x > - 1.\]