Inequalities II - Ambitious

Question 1: Solve the inequality:

\frac{x^{2} - 7 x + 10}{x - 5} \geq 0

A

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

B

x \in [2; 10) \ \{5\}

C

x \in (2; + \infty) \ \{5\}

D

x \in [2; + \infty)

Question 2: Solve the inequality:

\frac{x + 1}{2 x + 1} \leq 1

A

x \in (- \infty; - \frac{1}{2}) \cup [0; + \infty)

B

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

C

x \in (- \infty; - \frac{1}{2}] \cup [0; + \infty)

D

x \in [0; + \infty)

Question 3: Solve the inequality:

\frac{(x - 1) (x - 3)}{x^{2} + 4} < 0

A

x \in [1; 3]

B

x \in [1; 3)

C

x \in (1; 3)

D

x \in (1; 3]

Question 4: Solve the inequality:

x^{2} - 5 x < 0

A

x \in (0; 5)

B

x \in (0; 5]

C

x \in (5; + \infty)

D

x \in (1; 5)

Question 5: Solve the inequality:

\frac{x^{2}}{2 x - 5} < 1

A

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

B

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

C

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

D

x \in [- \frac{5}{2}; \frac{5}{2}]

Question 6: Solve the inequality:

\sqrt{3 x - 1} < 7

A

x \in (\frac{1}{3}; 16]

B

x \in [\frac{1}{3}; 16)

C

x \in (\frac{1}{3}; 16)

D

x \in [\frac{1}{3}; 4)

Question 7: Solve the inequality:

|x + 2| \leq 1

A

x \in [- 3; - 1]

B

x \in (- 3; - 1)

C

x \in [- 4; 0]

D

x \in (- 3; - 1]

Question 8: Solve the inequality:

x^{2} - 5 x + 10 \leq 6

A

x \in [1; 4]

B

x \in [1; 4)

C

x \in (- 4; + \infty)

D

x \in (- \infty; - 4] \cup [1; 4]

Question 9: Solve the inequality:

\frac{7 - 2 x}{x - 3} \leq 0

A

x \in (- \infty; 3] \cup [\frac{7}{2}; + \infty)

B

x \in (- \infty; 3)

C

x \in (- \infty; 3) \cup [\frac{7}{2}; + \infty)

D

x \in (- \infty; 3) \cup (\frac{7}{2}; + \infty)

Question 10: Solve the inequality:

5 x^{2} - 5 x (x + 1) \leq 45

A

x \in [- 9; 10)

B

x \in [- 9; 9]

C

x \in [- 9; + \infty)

D

x \in [- 3; + \infty)

Test: Inequalities II - Ambitious

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