Solving Absolute Value Inequalities

Solving Absolute Value Inequalities

Assessment

Quiz

Mathematics

12th Grade

Medium

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Wayground Content

Used 6+ times

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8 questions

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1.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the third step in solving absolute value inequalities?

Write two equations without the absolute value symbol

Change the direction of the inequality

Change the sign of the number inside the absolute value

Divide both sides by the coefficient of x

2.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

When solving an absolute value inequality with a greater than symbol, the solution is represented as:

An "or" expression

An and expression

A union of two intervals

A single interval

3.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

For the inequality |2x + 5| > 11, what is the solution?

x > 3 or x < -8

x > 3 and x < -8

x > 3 or x > -8

x < 3 or x < -8

4.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

What is the solution to the inequality |3x - 4| ≤ 17?

x ≤ 7 and x ≥ -13/3

x ≤ 7 or x ≥ -13/3

x ≥ 7 or x ≤ -13/3

x ≥ 7 and x ≤ -13/3

5.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

In the inequality |3x + 5| < -3, what is the solution?

No solution

x < -3

x > -3

x = -3

6.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

For the inequality |4x - 3| > -4, what is the solution?

All real numbers

x > 0

x < 0

x = 0

7.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

When should you write two expressions for an absolute value inequality?

After isolating the absolute value symbol and determining "and" or "or" statement

Before solving the inequality

When the inequality has a greater than symbol

When the inequality has a less than symbol

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