Absolute value equations and inequalities

1003187301

Level:

Which equation has the solutions

- 1

and

9

| 2 x - 8 | = 10

| 2 x - 10 | = 8

| 2 x + 8 | = 10

| 2 x + 10 | = 8

1003187411

Level:

The solution set of the equation

3 | 51 - x | - 2 | x - 81 | = 0

is:

{- 9; 63}

{63}

{9; 63}

{- 63; - 9}

1003187410

Level:

How many integers are in the solution set of the given inequalities?

| \sqrt{17} - 2 x | \leq 5 and | 2 x - \sqrt{17} | \leq 5

5

4

6

7

1103187409

Level:

The graph shows the set of all real numbers that satisfy the inequality

| 3 x - 12 | \leq 15

. Determine

k

k = 9

k = 4

k = 5

k = 2

1103187408

Level:

Identify the graph which shows the solution set of the inequality

| 2 x - 12 | > 6

1003187407

Level:

Find the solution set of the inequality

| 12 - 6 x | < 2

(\frac{5}{3}; \frac{7}{3})

(- \frac{7}{3}; - \frac{5}{3})

(- \frac{7}{3}; \frac{5}{3})

(- \frac{5}{3}; \frac{7}{3})

1003187406

Level:

How many natural numbers belong to the solution set of the inequality

| 4 x - 10 | \leq 6

4

2

3

0

1103187404

Level:

The solution set of an inequality is graphed on the number line. Determine this inequality.

| 4 - x | > 41

| x - 3 | < 42

| x - 2 | > 42

| 1 - x | > 43

1003187403

Level:

How many solutions does the equation

| | 2 x + 6 | - 8 | = 4

have?

4

2

0

6

1003187402

Level:

For a given parameter

a \in R

the number

π - \sqrt[3]{5} - \sqrt{2} + 7

represents one of the solutions of the equation

| 2 x | = 2 a^{2}

. Which of the following numbers is also the solution of this equation?

\sqrt{2} - 7 + \sqrt[3]{5} - π

\sqrt{7 - π + \sqrt[3]{5} + \sqrt{2}}

\sqrt[3]{5} - π - \sqrt{2} - 7

\sqrt{π - \sqrt[3]{5} - \sqrt{2} + 7}

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Absolute value equations and inequalities

1003187301

1003187411

1003187410

1103187409

1103187408

1003187407

1003187406

1103187404

1003187403

1003187402

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