How do you solve the inequality $$200t > 1660$$ for t?

To solve for t, divide both sides by 200: $$t > \frac{1660}{200}$$ , which simplifies to $$t > 8.3$$ .

What does it mean if a solution to an inequality is expressed as a range?

It means that the variable can take on any value within that range. For example, $$t > 8.3$$ means t can be any number greater than 8.3.

How can you check if a value satisfies an inequality?

You can substitute the value into the inequality and see if the statement holds true. For example, if $$t = 9$$ , check if $$9 > 8.3$$ is true.

What is a real-world example of using inequalities?

A real-world example is budgeting. If you have a budget of $200 and want to spend less than that, you can express it as $$x

What is the importance of understanding inequalities in math?

Understanding inequalities is important because they are used to express conditions and constraints in real-life situations, such as budgeting, planning, and optimization.

What is the solution set of an inequality?

The solution set of an inequality is the set of all values that satisfy the inequality. For example, the solution set for $$t > 8.3$$ includes all numbers greater than 8.3.

How do you graph an inequality on a number line?

To graph an inequality, use an open circle for 'greater than' or 'less than' and a closed circle for 'greater than or equal to' or 'less than or equal to'. Shade the region that satisfies the inequality.

What is the significance of the boundary point in an inequality?

The boundary point is the value that separates the solution set from non-solution values. For example, in $$t > 8.3$$ , the boundary point is 8.3.

How can you express a situation where a quantity must be at least a certain value using an inequality?

You can express it using the greater than or equal to symbol (≥). For example, if a runner wants to burn at least 1660 calories, you can write it as $$t ≥ 8.3$$ .

6.10A MATH Review Flashcards

Student preview

15 questions

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1.

FLASHCARD QUESTION

Front

What is an inequality?

Back

Tags

CCSS.6.EE.B.8

2.

FLASHCARD QUESTION

Front

How do you represent a situation where a quantity must exceed a certain value using an inequality?

Back

Tags

CCSS.6.EE.B.8

3.

FLASHCARD QUESTION

Front

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

Back

Tags

CCSS.6.EE.B.8

4.

FLASHCARD QUESTION

Front

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

Back

Tags

CCSS.6.EE.B.8

5.

FLASHCARD QUESTION

Front

Back

Tags

CCSS.6.EE.B.8

6.

FLASHCARD QUESTION

Front

What is the first step in solving an inequality?

Back

The first step is to isolate the variable on one side of the inequality. This often involves adding, subtracting, multiplying, or dividing both sides by the same number.

Tags

CCSS.6.EE.B.8

7.

FLASHCARD QUESTION

Front

What is the difference between an equation and an inequality?

Back

Tags

CCSS.6.EE.B.8

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