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Solving Inequalities Review

Solving Inequalities Review

Assessment

Flashcard

Mathematics

10th Grade - University

Practice Problem

Hard

Created by

Wayground Content

FREE Resource

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15 questions

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1.

FLASHCARD QUESTION

Front

What is interval notation?

Back

Interval notation is a way of writing subsets of the real number line. It uses parentheses and brackets to indicate whether endpoints are included or excluded.

2.

FLASHCARD QUESTION

Front

What does the notation [-5, ∞) represent?

Back

It represents all real numbers greater than or equal to -5.

3.

FLASHCARD QUESTION

Front

How do you solve the compound inequality -3 ≤ 2x - 1 ≤ 5?

Back

Add 1 to all parts: -2 ≤ 2x ≤ 6. Then divide by 2: -1 ≤ x ≤ 3.

4.

FLASHCARD QUESTION

Front

What is the solution to the absolute-value inequality |2x - 11| < 21?

Back

The solution is 5 < x < 16.

5.

FLASHCARD QUESTION

Front

How do you solve the inequality 6 - 2|m - 3| > -4?

Back

First, isolate the absolute value: 6 + 4 > 2|m - 3|. Then, 10 > 2|m - 3|, which simplifies to 5 > |m - 3|. This leads to -2 < m < 8.

6.

FLASHCARD QUESTION

Front

What does the inequality 4x < 4(x - 1) simplify to?

Back

It simplifies to 4x < 4x - 4, which leads to no solutions.

7.

FLASHCARD QUESTION

Front

What is the difference between a closed interval and an open interval?

Back

A closed interval includes its endpoints (e.g., [a, b]), while an open interval does not (e.g., (a, b)).

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