Question 1

Which of the following is the correct solution to the inequality $$\frac{3x+1}{4} \u003e -5 in $$interval notation?

Accepted Answer

$$(-7, \infty)$$

Question 2

When solving the inequality $$-6x \geq 17$$, what must you do to the inequality sign after dividing both sides by $$-6$$?

Accepted Answer

Flip the inequality sign

Question 3

What is the solution to $$-6x \geq 17 in $$interval notation?

Accepted Answer

$$(-\infty, -\frac{17}{6}]$$

Question 4

Which interval notation represents the solution to $$x \u003e 3$$?

Accepted Answer

$$(3, \infty)$$

Question 5

If you solve $$2x + 20 \u003c 2x - 9$$, what is the solution?

Accepted Answer

No solution

Question 6

What is the intersection $$A \cap B if$$ $$A = \{3, 4, 5, 6, 7\}$$ and $$B = \{5, 6\}$$?

Accepted Answer

$$\{5, 6\}$$

Question 7

Solve the compound inequality $$5 \u003c 3x - 4 \leq 15$$ and express the answer in interval notation.

Accepted Answer

$$(3, 19/3]$$

Question 8

Which of the following best describes the meaning of the interval $$[11, 15)$$?

Accepted Answer

All numbers greater than or equal to 11 and less than 15

Question 9

If you solve $$6x - 4x \u003c 2x + 3$$, what is the solution?

Accepted Answer

$$x \u003c 2x + 3$$

Question 10

What is the solution to the chain inequality $$-20 \leq 3x + 6 \u003c -12 in $$interval notation?

Accepted Answer

$$[-26/3, -6)$$

Question 11

Which of the following is true about the intersection of two sets $$A$$ and $$B$$?

Accepted Answer

It contains only elements that are in both $$A$$ and $$B$$

Question 12

A student is considered 'super busy' if they are taking at least 12 credit hours AND working at least 20 hours per week. Which set notation best represents this group?

Accepted Answer

$$A \cap B$$

Question 13

What is the solution to $$x \leq -\frac{25}{6} in $$interval notation?

Accepted Answer

$$(-\infty, -\frac{25}{6}]$$

Question 14

Which interval notation represents all real numbers?

Accepted Answer

$$(-\infty, \infty)$$

Question 15

If you solve $$2 \u003c 7x - 9 - x$$, what is the solution for $$x$$?

Accepted Answer

$$x \u003e \frac{11}{6}$$

Question 16

Which of the following is the correct solution to $$2x \u003c -8$$?

Accepted Answer

$$x \u003c -4$$

Question 17

What is the solution to $$9 \u003c 3x \leq 19 in $$interval notation?

Accepted Answer

$$(3, \frac{19}{3}]$$

Question 18

If you multiply or divide both sides of an inequality by a negative number, what must you do?

Accepted Answer

Flip the inequality sign

Question 19

Which interval notation represents the solution to $$x \leq 6$$?

Accepted Answer

$$(-\infty, 6]$$

Ch. 8: Inequalities and Absolute Value – Review of Linear Inequalities in One Variable

Study Guide - Practice Questions

Study Guide - Flashcards