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'.

Tags

CCSS.6.EE.B.8

Front

What does the symbol '>' represent in inequalities?

Back

The symbol '>' means 'greater than'.

Tags

CCSS.6.EE.B.8

Front

What does the symbol '≤' represent in inequalities?

Back

The symbol '≤' means 'less than or equal to'.

Tags

CCSS.6.EE.B.8

Front

What does the symbol '≥' represent in inequalities?

Back

The symbol '≥' means 'greater than or equal to'.

Tags

CCSS.6.EE.B.8

Front

How do you solve the inequality -2x + 7 < 19?

Back

To solve -2x + 7 < 19, subtract 7 from both sides to get -2x < 12, then divide by -2 (remember to flip the inequality sign) to get x > -6.

Tags

CCSS.7.EE.B.4B

Front

What is the solution set for the inequality x < 3?

Back

The solution set for x < 3 includes all real numbers less than 3.

Front

What is the solution set for the inequality x > -2?

Back

The solution set for x > -2 includes all real numbers greater than -2.

Front

How do you solve the inequality 2x + 3 ≤ 9?

Back

To solve 2x + 3 ≤ 9, subtract 3 from both sides to get 2x ≤ 6, then divide by 2 to get x ≤ 3.

Tags

CCSS.7.EE.B.4B

Front

What is the graphical representation of the inequality x < 3?

Back

The graphical representation of x < 3 is a number line with an open circle at 3 and a line extending to the left.

Tags

CCSS.6.EE.B.8