Absolute Value Equations and Inequalities

9000081401

Level:

Find the inequality which describes the set graphed in the picture.

\(|x| < 1,\ x\in \mathbb{R}\)

\(|x - 1| < 0,\ x\in \mathbb{R}\)

\(|x| > 1,\ x\in \mathbb{R}\)

\(|x + 1| < 1,\ x\in \mathbb{R}\)

\(|x - 1| > 0,\ x\in \mathbb{R}\)

9000081402

Level:

Find the inequality which describes the set graphed in the picture.

\(|x - 1| < 2,\ x\in \mathbb{R}\)

\(|x + 1| < 2,\ x\in \mathbb{R}\)

\(|x - 1| > 2,\ x\in \mathbb{R}\)

\(|x + 1| > 2,\ x\in \mathbb{R}\)

\(|x - 2| > 1,\ x\in \mathbb{R}\)

9000081403

Level:

Find the inequality which describes the set graphed in the picture.

\(|x + 1| > 2,\ x\in \mathbb{R}\)

\(|x - 1| < 2,\ x\in \mathbb{R}\)

\(|x + 1| < 2,\ x\in \mathbb{R}\)

\(|x - 1| > 2,\ x\in \mathbb{R}\)

\(|x - 2| > 1,\ x\in \mathbb{R}\)

9000081404

Level:

Find the inequality which describes the set graphed in the picture.

\(|2 + x| > 1,\ x\in \mathbb{R}\)

\(|2 + x| < 1,\ x\in \mathbb{R}\)

\(|2 - x| > 1,\ x\in \mathbb{R}\)

\(|2 - x| < 1,\ x\in \mathbb{R}\)

\(|1 + x| > 2,\ x\in \mathbb{R}\)

9000081405

Level:

Find the inequality which describes the set graphed in the picture.

\(|2 - x| < 1,\ x\in \mathbb{R}\)

\(|2 + x| > 1,\ x\in \mathbb{R}\)

\(|2 + x| < 1,\ x\in \mathbb{R}\)

\(|2 - x| > 1,\ x\in \mathbb{R}\)

\(|1 - x| < 2,\ x\in \mathbb{R}\)

9000078501

Level:

Write the following set in an interval notation. \[ \{x\in \mathbb{R},|x| > 2\} \]

\((-\infty ,-2)\cup (2,\infty )\)

\([ 2,\infty ] \)

\((2,\infty )\)

\((-\infty ,-2] \cup [ 2,\infty )\)

9000078502

Level:

Write the following set in an interval notation. \[ \{x\in \mathbb{R},|x|\leq 4\} \]

\([ - 4,4] \)

\((-4,4)\)

\((-\infty ,-4] \)

\((-\infty ,-4)\)

9000078503

Level:

Write the following set in an interval notation. \[ \{x\in \mathbb{R},|x - 3|\geq 5\} \]

\((-\infty ,-2] \cup [ 8,\infty )\)

\((-\infty ,-8] \cup [ 2,\infty )\)

\([ 2,\infty )\)

\([ 8,\infty )\)

9000078504

Level:

Write the following set in an interval notation. \[ \{x\in \mathbb{R},|x + 10| > 7\} \]

\((-\infty ,-17)\cup (-3,\infty )\)

\((-\infty ,3)\cup (17,\infty )\)

\((-3,\infty )\)

\((17,\infty )\)

9000027308

Level:

Identify the solution set of the following inequality. \[ |2x - 1| > 5 \]

\(\left (-\infty ,-2\right )\cup \left (3,\infty \right )\)

\(\left (-\infty ,-4.5\right )\cup \left (5.5,\infty \right )\)

\(\left (1.5,\infty \right )\)

\(\left (-\infty ,0\right )\cup \left [ 5,\infty \right )\)

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Absolute Value Equations and Inequalities

9000081401

9000081402

9000081403

9000081404

9000081405

9000078501

9000078502

9000078503

9000078504

9000027308

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