Inequalities II - Challenging

Question 1: Solve the inequality:

8 x \geq 10

A

x \leq 1.25

B

x \geq 1.25

C

x \geq 2

D

x \leq 2

Question 2: Solve the inequality:

\frac{1}{2} y - 3 \leq 5

A

y \leq - 16

B

y \geq 16

C

y \geq - 16

D

y \leq 16

Question 3: Solve the inequality:

- 10 x < - 5 x + 3

A

x > - \frac{3}{5}

B

x \leq \frac{3}{5}

C

x > \frac{3}{5}

D

x \geq \frac{3}{5}

Question 4: Solve the inequality:

- 4 (x + 3) \geq x

A

x \geq 2.4

B

x \leq - 2.4

C

x \leq 2.4

D

x \geq - 2.4

Question 5: Solve the inequality:

\frac{2 x + 1}{6} \geq \frac{x - 2}{3}

A

x \geq - 5

B

x \geq 0

C

no solution

D

x \leq 5

Question 6: Solve the inequality:

2 (2 - y) \geq 12 - 8 y - 11

A

y \geq - \frac{1}{2}

B

y \leq - \frac{1}{2}

C

y \leq \frac{1}{2}

D

y \geq \frac{1}{2}

Question 7: Solve the inequality:

x^{2} - 4 \leq 0

A

x \leq - 4 \cup x \geq 4

B

- 2 \leq x \leq 2

C

x \leq - 2 \cup x \geq 2

D

- 4 \leq x \leq 4

Question 8: Solve the inequality:

x (x + 6) \geq 3 x

A

- 3 \leq x \leq 3

B

x \leq - 3 \cup x \geq 3

C

x \geq - 3

D

x \leq 3

Question 9: Find the domain of a function:

y = \sqrt{10 x + 15 x^{2}}

A

x \geq 1.5

B

x \leq - 1.5 \cup x \geq 0

C

- 1.5 \leq x \leq 0

D

x \leq 0

Question 10: Find the smallest integer that satisfies the inequality:

\frac{1 - 3 x}{5} + 4 \leq \frac{8 - x}{2}

A

2

B

no solution

C

- 2

D

3

Test: Inequalities II - Challenging

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