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1003181006

Level:

Find the solution set of the given inequality.

\frac{4 x - 1}{| 2 x + 1 |} \leq - (2 x + 1)

(- \infty; - \frac{1}{2}) \cup (- \frac{1}{2}; 0]

(- \infty; 0]

(- \frac{1}{2}; 0]

(- \infty; - \frac{1}{2})

Level:

Find the solution set of the given inequality.

\frac{3 - x}{| x - 2 |} \leq 1

[\frac{5}{2}; \infty)

(- \infty; 2) \cup [\frac{5}{2}; \infty)

(- \infty; 0] \cup (3; \infty)

(2; \infty)

Level:

Find the solution set of the given inequality.

\frac{| 5 - 2 x |}{1 - x} > 1

(- \infty; 1)

(- \infty; 1) \cup (\frac{5}{2}; \infty)

(- \infty; \frac{5}{2})

(\frac{5}{2}; \infty)

Level:

Find the solution set of the given inequality.

\frac{(x^{2} - 1) (x + 3)}{| x + 1 | 2 x} \leq 0

[- 3; - 1) \cup (0; 1]

(- 3; - 1) \cup (0; 1)

[- 3; 0) \cup [1; \infty)

(- \infty; - 3]

Level:

Find the solution set of the given inequality.

\frac{| 13 - 5 x |}{x (x - 2)} \geq 0

(- \infty; 0) \cup (2; \infty)

(- \infty; 0) \cup (\frac{3}{5}; 2) \cup (2; \infty)

(- \infty; 0] \cup [2; \infty)

(2; \infty)

Level:

Find the solution set of the given inequality.

\frac{(3 x^{2} + 2) | x + 1 |}{(x - 5) (1 - 2 x)} < 0

(- \infty; - 1) \cup (- 1; \frac{1}{2}) \cup (5; \infty)

(- \infty; \frac{1}{2}) \cup (5; \infty)

(5; \infty)

(\frac{1}{2}; 5)

Level:

Choose the diagram which shows the number line with the correct solution of the given inequality depicted in blue.

\log_{\frac{1}{3}} (2 - x) < \log_{\frac{1}{3}} x + \log_{\frac{1}{3}} 3

Level:

Choose the diagram which shows the number line with the correct solution set of the given inequality depicted in blue.

2 \log_{0.1} (x - 1) > \log_{0.1} 4

Level:

Find the solution set of the following inequality.

\log_{16} x^{2} < \frac{1}{2}

(- 2; 0) \cup (0; 2)

(- \infty; - 2) \cup (2; \infty)

(0; 2)

(2; \infty)

Level:

Find the solution set of the following inequality.

\log_{4} (2 x - 1) \leq 0

(\frac{1}{2}; 1]

(- \infty; 1]

{\frac{1}{2}}

(- \infty; \frac{1}{2}]