Absolute value

2000001201

Level:

Find all

x \in R

such that the given relation is true.

| x | = x

x \in [0; \infty)

x \in (- \infty; 0]

x \in R

No such

x

exists.

x \in {0}

2000001202

Level:

Find all

x \in R

such that the given relation is true.

| x | = - x

x \in (- \infty; 0]

x \in [0; \infty)

x \in R

No such

x

exists.

x \in {0}

2000001203

Level:

Find all

x \in R

such that the given relation is true.

| - x | = - x

x \in (- \infty; 0]

x \in [0; \infty)

x \in R

No such

x

exists.

x \in {0}

2000001204

Level:

Find all

x \in R

such that the given relation is true.

- | x | = - x

x \in [0; \infty)

x \in (- \infty; 0]

x \in R

No such

x

exists.

x \in {0}

2000001205

Level:

Find all

x \in R

such that the given relation is true.

- | x | = | - x |

x \in {0}

x \in [0; \infty)

x \in (- \infty; 0]

x \in R

No such

x

exists.

2000001601

Level:

Find all

x

such that the statement is true.

| 2 x - 1 | = 2 x - 1

x \in [\frac{1}{2}; \infty)

x \in [2; \infty)

x \in [- 2; \infty)

x \in [5; \infty)

2000001602

Level:

Find all

x

such that the statement is true.

| 1 - x | = 1 - x

x \in (- \infty; 1]

x \in [1; \infty)

x \in [- 1; \infty)

x \in (- \infty; - 1]

2000001603

Level:

Find all

x

such that the statement is true.

| - 1 - x | = - 1 - x

x \in (- \infty; - 1]

x \in (- \infty; 1]

x \in [1; \infty)

No such

x

exists.

2000001604

Level:

Find all

x

such that the statement is true.

| 3 - 2 x | = - 3 + 2 x

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

x \in [2; \infty)

No such

x

exists.

x \in R

2000001605

Level:

Find all

x

such that the statement is true.

| - 1 - x | = 1 + x

x \in [- 1; \infty)

x \in [1; \infty)

x \in [0; \infty)

x \in R

2000001201

2000001202

2000001203

2000001204

2000001205

2000001601

2000001602

2000001603

2000001604

2000001605

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