Basic Inequalities C-Algebra

Front

What is an inequality?

Back

An inequality is a mathematical statement that compares two expressions and shows that one is greater than, less than, greater than or equal to, or less than or equal to the other.

Tags

CCSS.6.EE.B.8

Front

How is the inequality 'm ≥ 250' interpreted in a real-world context?

Back

It means that the value of m (e.g., money in a savings account) is at least 250, indicating that it can be 250 or any amount greater than 250.

Tags

CCSS.6.EE.B.8

Front

What are some examples of numbers that satisfy the inequality 'x < 8'?

Back

Any number less than 8, such as 0, 7.9, or -3.

Tags

CCSS.6.EE.B.5

Front

What does the inequality '5.50x ≥ 5225' represent in a real-world scenario?

Back

It represents the requirement for the number of bags (x) of dog food that must be sold to achieve a profit of at least $5225.

Tags

CCSS.6.EE.B.8

Front

What is the significance of the speed limit being expressed as an inequality?

Back

It indicates that the speed of a vehicle must be less than or equal to a specified limit, ensuring safety on the roads.

Tags

CCSS.6.EE.B.8

Front

What does the symbol '≥' mean in inequalities?

Back

It means 'greater than or equal to', indicating that the value on the left can be either greater than or equal to the value on the right.

Tags

CCSS.6.EE.B.8

Front

What is the difference between '>' and '≥'?

Back

'>' means greater than, while '≥' means greater than or equal to, allowing for equality in the latter.

Tags

CCSS.6.EE.B.8

Front

How can inequalities be represented graphically?

Back

Inequalities can be represented on a number line with open or closed circles to indicate whether endpoints are included or excluded.

Tags

CCSS.6.EE.B.8

Front

What does the inequality '11 ≤ a' imply about the value of 'a'?

Back

It implies that 'a' must be 11 or any number greater than 11.

Tags

CCSS.6.EE.B.8

Front

What is a real-life example of an inequality?

Back

A real-life example is a budget constraint, such as 'spending must be less than or equal to $100'.

Tags

CCSS.6.EE.B.8