Inequalities with Absolute Value | math4u.vsb.cz

Submitted by michaela.bailova on Thu, 04/18/2024 - 16:43

Project ID:

7100020081

Accepted:

SubArea:

Absolute value equations and inequalities

Type:

Layout:

Question:

Each pair you are looking for is an inequality and its solution set.

Question 1:

| 2 x - 4 | > 6

Answer 1:

(- \infty; - 1) \cup (5; + \infty)

Question 2:

| x | \leq 3

Answer 2:

[- 3; 3]

Question 3:

| x - 4 | \geq - 2

Answer 3:

R

Question 4:

| x - 4 | \leq 0

Answer 4:

{4}

Question 5:

| x | \geq 3

Answer 5:

(- \infty; - 3] \cup [3; + \infty)

Question 6:

| x + 3 | < 0

Answer 6:

\emptyset

Question 7:

| x - 4 | < 2

Answer 7:

(2; 6)

Question 8:

| x + 6 | \leq 3

Answer 8:

[- 9; - 3]

Question 9:

| 2 - x | < 3

Answer 9:

(- 1; 5)