Understanding Inequalities

Front

What is an inequality?

Back

An inequality is a mathematical statement that compares two expressions using symbols like >, <, ≥, or ≤.

Front

How many solutions can an inequality have?

Back

An inequality can have infinite solutions.

Front

What symbols are used in inequalities?

Back

The symbols used in inequalities are > (greater than), < (less than), ≥ (greater than or equal to), and ≤ (less than or equal to).

Front

What does the inequality x > -1 mean?

Back

It means that x can be any number greater than -1.

Front

What does the inequality x < -1 mean?

Back

It means that x can be any number less than -1.

Front

What type of mathematical sentence uses >, <, ≥, ≤?

Back

Inequality.

Front

How do you represent the solution set of z < 14 on a number line?

Back

You draw an open circle at 14 and shade to the left.

Front

What does the graph of z < 4.4 look like?

Back

It shows an open circle at 4.4 with shading to the left.

Front

What is the solution to the inequality x ≤ 5?

Back

The solution set includes all numbers less than or equal to 5.

Front

How do you solve the inequality 2x + 3 < 11?

Back

Subtract 3 from both sides to get 2x < 8, then divide by 2 to find x < 4.