Inequalities

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

What does the symbol '<' represent in inequalities?

Back

The symbol '<' means 'less than'. For example, x < 5 means x is less than 5.

Tags

CCSS.6.EE.B.8

Front

What does the symbol '>' represent in inequalities?

Back

The symbol '>' means 'greater than'. For example, x > 3 means x is greater than 3.

Tags

CCSS.6.EE.B.8

Front

How do you solve an inequality involving a negative coefficient?

Back

When multiplying or dividing both sides of an inequality by a negative number, you must reverse the inequality sign.

Tags

CCSS.6.EE.B.8

Front

What is the solution to the inequality \( \frac{x}{-4} < -12 \)?

Back

The solution is x > 48.

Tags

CCSS.6.EE.B.8

Front

How do you graph an inequality on a number line?

Back

To graph an inequality, use an open circle for '<' or '>' and a closed circle for '≤' or '≥'. Shade the region that satisfies the inequality.

Tags

CCSS.6.EE.B.8

Front

What does the inequality '2x + 4 < 20' simplify to?

Back

It simplifies to x < 8.

Tags

CCSS.7.EE.B.4B

Front

What is the meaning of the inequality 'c ≥ 40' in a word problem context?

Back

It means that the variable c must be at least 40, indicating a minimum requirement.

Tags

CCSS.6.EE.B.8

Front

How do you translate a word problem into an inequality?

Back

Identify key phrases such as 'more than', 'less than', 'at least', or 'no more than' and translate them into the corresponding inequality symbols.

Tags

CCSS.6.EE.B.8

Front

What is the solution to the inequality \( -3x + 5 < 20 \)?

Back

The solution is x > -5.

Tags

CCSS.7.EE.B.4B