How do you solve the inequality $$12 + 6x > 99$$ ?

To solve $$12 + 6x > 99$$ , subtract 12 from both sides to get $$6x > 87$$ . Then, divide both sides by 6 to find $$x > 14.5$$ .

What is a solution to the inequality $$12 + 6x > 99$$ ?

A solution to the inequality $$12 + 6x > 99$$ is any value of x that is greater than 14.5, such as 15, 16, or 64.

What is a graph of an inequality?

A graph of an inequality shows all the possible solutions on a number line or coordinate plane. For example, the graph of $$x > 5$$ would be a line starting just after 5 and extending to the right.

What is the difference between an equation and an inequality?

An equation states that two expressions are equal, while an inequality shows that one expression is greater than, less than, or not equal to another.

What is a boundary line in the context of inequalities?

A boundary line is the line that represents the equality part of an inequality. For example, in $$y

What does it mean if a point is above the boundary line in a graph of an inequality?

If a point is above the boundary line in a graph of an inequality, it means that the point satisfies the inequality.

What does it mean if a point is below the boundary line in a graph of an inequality?

If a point is below the boundary line in a graph of an inequality, it means that the point does not satisfy the inequality.

How can you check if a number is a solution to an inequality?

To check if a number is a solution to an inequality, substitute the number into the inequality and see if the statement is true.

What is a real-world example of using inequalities?

A real-world example of using inequalities is determining the maximum budget for a project. For instance, if a project cannot exceed $4000, you can express this as $$x ≤ 4000$$ .

What is the importance of understanding inequalities in mathematics?

Understanding inequalities is important because they help us express and solve problems involving limits, constraints, and comparisons in various real-life situations.

Lesson 20 Flashcard-6th Grade Flashcards

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15 questions

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1.

FLASHCARD QUESTION

Front

What is an inequality?

Back

An inequality is a mathematical statement that shows the relationship between two expressions that are not equal. It uses symbols like >, <, ≥, and ≤.

2.

FLASHCARD QUESTION

Front

What does the symbol '>' mean in an inequality?

Back

3.

FLASHCARD QUESTION

Front

What does the symbol '<' mean in an inequality?

Back

4.

FLASHCARD QUESTION

Front

What does the symbol '≥' mean in an inequality?

Back

5.

FLASHCARD QUESTION

Front

What does the symbol '≤' mean in an inequality?

Back

6.

FLASHCARD QUESTION

Front

Back

7.

FLASHCARD QUESTION

Front

Back

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