QuestionJuly 27, 2025

6. Which statement does NOT describe the characteristics of an OR inequality? a. All solutions make both inequalities true. b. Shading is generally to the right or the left of the named values. c. They are also known as unions. d. They are always written as two inequalities.

6. Which statement does NOT describe the characteristics of an OR inequality? a. All solutions make both inequalities true. b. Shading is generally to the right or the left of the named values. c. They are also known as unions. d. They are always written as two inequalities.
6. Which statement does NOT describe the characteristics of an OR
inequality?
a. All solutions make both inequalities true.
b. Shading is generally to the right or the left of the named values.
c. They are also known as unions.
d. They are always written as two inequalities.

Solution
4.6(290 votes)

Answer

a. All solutions make both inequalities true. Explanation 1. Identify Characteristics of OR Inequalities OR inequalities represent the union of solutions, meaning a solution can satisfy either inequality, not necessarily both. 2. Analyze Each Statement a. Incorrect for OR inequalities; solutions do not need to make both true. b. Correct; shading typically extends in one direction from each boundary. c. Correct; OR inequalities are known as unions. d. Incorrect; they may be written as a single compound inequality.

Explanation

1. Identify Characteristics of OR Inequalities<br /> OR inequalities represent the union of solutions, meaning a solution can satisfy either inequality, not necessarily both.<br /><br />2. Analyze Each Statement<br /> a. Incorrect for OR inequalities; solutions do not need to make both true.<br /> b. Correct; shading typically extends in one direction from each boundary.<br /> c. Correct; OR inequalities are known as unions.<br /> d. Incorrect; they may be written as a single compound inequality.
Click to rate: