Inequalities I - Ambitious

Question 1: Solve the inequality:

3 x^{2} - 3 x (x + 7) \geq 21

A

x \in (- \infty; - 1)

B

x \in (- \infty; - 1]

C

x \in (- 1; 1]

D

x \in (- 3; - 1]

Question 2: Solve the inequality:

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

A

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

B

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

C

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

D

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

Question 3: Solve the inequality:

|2 x - 3| \leq 2

A

x \in [\frac{1}{2}; \frac{5}{2}]

B

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

C

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

D

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

Question 4: Solve the inequality:

x^{2} - x - 16 \geq 4

A

x \in (- \infty; - 4) \cup (5; + \infty)

B

x \in (- \infty; 4] \cup (5; + \infty)

C

x \in (- 4; 5)

D

x \in (- \infty; - 4] \cup [5; + \infty)

Question 5: Solve the inequality:

\frac{x^{2} - 5 x + 6}{x - 2} < 0

A

x \in (- \infty; 3] \ \{2\}

B

x \in (- \infty; 3) \ \{2\}

C

x \in (- 1; 3) \ \{2\}

D

x \in (- \infty; 3)

Question 6: Solve the inequality:

\frac{x^{2}}{x - 3} < 1

A

x \in (- 3; 3)

B

x \in (- \infty; 3]

C

x \in [- 3; 3]

D

x \in (- \infty; 3)

Question 7: Solve the inequality:

\sqrt{2 x - 3} < 9

A

x \in (- \infty; 42)

B

x \in [1; 42)

C

x \in [\frac{3}{2}; 42)

D

x \in (\frac{3}{2}; 42)

Question 8: Solve the inequality:

x^{2} + 7 x > 0

A

x \in (0; + \infty)

B

x \in (- \infty; - 7)

C

x \in (- \infty; - 7) \cup (0; + \infty)

D

x \in (- \infty; - 7] \cup [0; + \infty)

Question 9: Solve the inequality:

\frac{5 - x}{4 x - 16} \leq 0

A

x \in [5; + \infty)

B

x \in (- \infty; 4] \cup [5; + \infty)

C

x \in (- \infty; 4)

D

x \in (- \infty; 4) \cup [5; + \infty)

Question 10: Solve the inequality:

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

A

x \in [- 2; 1]

B

x \in (- 2; 1)

C

x \in (- 2; 1]

D

x \in [- 2; 1)

Test: Inequalities I - Ambitious

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