Inequalities

Front

What is an inequality?

Back

An inequality is a mathematical statement that compares two expressions using inequality symbols (>, <, ≥, ≤) to show that one expression is larger or smaller than the other.

Tags

CCSS.6.EE.B.8

Front

What does the symbol '>' mean in inequalities?

Back

The symbol '>' means 'greater than'. For example, x > 2 means x is greater than 2.

Tags

CCSS.6.EE.B.8

Front

What does the symbol '<' mean 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 '≥' mean in inequalities?

Back

The symbol '≥' means 'greater than or equal to'. For example, x ≥ 3 means x is greater than or equal to 3.

Tags

CCSS.6.EE.B.8

Front

What does the symbol '≤' mean in inequalities?

Back

The symbol '≤' means 'less than or equal to'. For example, x ≤ 4 means x is less than or equal to 4.

Tags

CCSS.6.EE.B.8

Front

How do you solve the inequality 17x − 4 > 30?

Back

Add 4 to both sides: 17x > 34. Then divide by 17: x > 2.

Tags

CCSS.6.EE.B.8

Front

How do you solve the inequality -4x + 14 ≤ 54?

Back

Subtract 14 from both sides: -4x ≤ 40. Then divide by -4 (remember to flip the inequality): x ≥ -10.

Tags

CCSS.7.EE.B.4B

Front

If the minimum speed is 40 mph, how is this represented in an inequality?

Back

This is represented as s ≥ 40, meaning speed s must be greater than or equal to 40 mph.

Tags

CCSS.6.EE.B.8

Front

What does the inequality x < 6 represent?

Back

It represents all values of x that are less than 6.

Tags

CCSS.6.EE.B.8

Front

How do you express a speed limit of 25 mph in an inequality?

Back

This is expressed as s ≤ 25, meaning speed s must be less than or equal to 25 mph.

Tags

CCSS.6.EE.B.8