Rational equations and inequalities

Identify the picture that shows the correct solution set of the following inequality. In each picture, the set of points corresponding to the solution set is marked in red.

\frac{- x}{x + 1} > 0

9000018005

Level:

Find all real values of

x

for which the fraction

\frac{3}{2 - x}

is positive.

x < 2

x < - 2

x > - 2

x > 2

9000018105

Level:

Find all the values of

x

which ensure that the following fraction is positive.

- \frac{3}{5 - 2 x}

x > \frac{5}{2}

x < \frac{5}{2}

x < - \frac{5}{2}

x > - \frac{5}{2}

9000021804

Level:

Solve the following inequality.

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

x \in (- \infty; 2) \cup [\frac{5}{2}; 3)

x \in (- \infty; 2) \cup [\frac{5}{3}; 2]

x \in (- \infty; \frac{5}{2}] \cup (3; \infty)

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

9000021806

Level:

Solve the following inequality.

\frac{1 - 3 x}{x + 2} \geq 0

x \in (- 2; \frac{1}{3}]

x \in [\frac{1}{3}; \infty)

x \in (\frac{1}{3}; \infty)

x \in (- \infty; - 2) \cup [\frac{1}{3}; \infty)

9000021809

Level:

Solve the following inequality.

\frac{2 x + 4}{x - 1} < 1

x \in (- 5; 1)

x \in (- \infty; 5)

x \in (1; \infty)

x \in (- \infty; - 3) \cup (1; \infty)

Rational equations and inequalities

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9000018005

9000018105

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