Rational equations and inequalities

1003181001

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)

1003181002

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)

1003181003

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]

1003181004

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)

1003181005

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)

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})

1003187305

Level:

Which of the given numbers are the solutions of the equation

\frac{| 2 x | - 4}{1 - | x |} + \frac{12}{7} = 0

- 8; 8

- \frac{8}{13}; \frac{8}{13}

- \frac{20}{13}; \frac{20}{13}

- 20; 20

2000005302

Level:

Use the graphs of the functions

f (x) = x^{2} - x - 6

and

g (x) = x - 3

to find the solution set of the following equation.

\frac{x^{2} - x - 6}{x - 3} = 1

{- 1}

{3}

{- 1; 3}

{- 2; 3}

2000005303

Level:

Use the graphs of the functions

f (x) = x^{2} - 5 x + 4

and

g (x) = x^{2} + 2 x - 3

to find the solution set of the following equation.

\frac{x^{2} - 5 x + 4}{x^{2} + 2 x - 3} = 1

\emptyset

{1}

{- 3; 4}

{- 3; 1; 4}

2000005306

Level:

Use the graphs of the functions

f (x) = x^{2} - 4

and

g (x) = x + 2

to find the solution set of the following inequality.

\frac{x^{2} - 4}{x + 2} \geq 0

x \in [2; + \infty)

x \in (2; + \infty)

x \in (- \infty; - 2) \cup (2; + \infty)

x \in (- \infty; - 2] \cup [2; + \infty)

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Rational equations and inequalities

1003181001

1003181002

1003181003

1003181004

1003181005

1003181006

1003187305

2000005302

2000005303

2000005306

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