Compound Inequalities

Compound Inequalities

Assessment

Flashcard

Mathematics

9th - 12th Grade

Practice Problem

Hard

Created by

Wayground Content

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15 questions

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1.

FLASHCARD QUESTION

Front

What is a compound inequality?

Back

A compound inequality is an inequality that combines two or more simple inequalities using the words 'and' or 'or'.

2.

FLASHCARD QUESTION

Front

What does 'x < -8 or x < 2' represent?

Back

This represents all values of x that are less than -8 or less than 2.

3.

FLASHCARD QUESTION

Front

How do you solve the compound inequality -8 < 2(x + 4) or -3x + 4 > x - 4?

Back

First, solve each inequality separately, then combine the solutions.

4.

FLASHCARD QUESTION

Front

What is interval notation?

Back

Interval notation is a way of writing subsets of the real number line using intervals.

5.

FLASHCARD QUESTION

Front

How is the interval [-8, 8) expressed in set notation?

Back

The interval [-8, 8) can be expressed in set notation as {x | -8 ≤ x < 8}.

6.

FLASHCARD QUESTION

Front

What does the graph of x > 2 or x ≤ -3 look like?

Back

It consists of two separate regions: one to the right of 2 and one to the left of -3.

7.

FLASHCARD QUESTION

Front

What is the solution to the inequality -3x + 4 > x - 4?

Back

The solution is x < -2.

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