Absolute value

Geometric Interpretation of Absolute Value I

Submitted by michaela.bailova on Tue, 11/14/2023 - 17:51

Level:

Choose the set equal to

{x \in N : | x | < 3}

{1; 2}

{0; 1; 2; 3}

{- 2; - 1; 0; 1; 2}

{1; 2; 3}

Level:

Choose the set equal to

{x \in Z : | x | < 4}

{- 3; - 2; - 1; 0; 1; 2; 3}

{0; 1; 2; 3}

{1; 2; 3}

{- 1; 0; 1}

Level:

Evaluate the following expression.

| | 2 - 4 | - 2 \cdot | 1 - 3 | |

2

7

6

8

Level:

Evaluate the following expression.

| | 3 - 4 | - 2 \cdot | 1 - 5 | |

7

9

6

8

Level:

Choose the true statement.

| 3 - 7 | \leq | 7 - 3 |

| 4 - 6 | > | 6 - 4 |

| 1 - 7 | < | 7 - 1 |

| 2 - 8 | = | 8 + 2 |

Level:

Choose the true statement.

| 3 - 4 | \leq | 4 - 3 |

| 3 - 6 | > | 6 - 3 |

| 2 - 7 | < | 7 - 2 |

| 3 - 8 | = | 8 + 3 |

Level:

Choose the set with all the elements satisfying the given inequality.

| x | > 3

x \in {- 5; - 4; 4; 5}

x \in {0; 1; 2}

x \in {- 5; - 4; - 3}

x \in {3; 4; 5}

Level:

Choose the set with all the elements satisfying the given inequality.

| x | < 3

x \in {- 1; 0; 2}

x \in {1; 2; 3}

x \in {- 3; - 2; - 1; 0}

x \in {- 4; - 2; 0}

Level:

Assuming

x \in (3; \infty)

, simplify the following expression.

| 2 x - 3 | + | x + 1 | - 2 x

x - 2

- 3 x + 4

- 5 x + 2

- x - 4