Inequalities Assessment Accel Alg 1A

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, or not equal to the other. Examples include: x > 5, x ≤ 3.

Front

What does the symbol '>' mean in inequalities?

Back

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

Front

What does the symbol '<' mean in inequalities?

Back

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

Front

What does the symbol '≥' mean in inequalities?

Back

The symbol '≥' means 'greater than or equal to'. For example, x ≥ 2 means x is any number greater than or equal to 2.

Front

What does the symbol '≤' mean in inequalities?

Back

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

Front

How do you solve a simple inequality like x + 3 > 7?

Back

To solve x + 3 > 7, subtract 3 from both sides: x > 4.

Front

What is a compound inequality?

Back

A compound inequality combines two inequalities using 'and' or 'or'. For example, x < 3 and x > 1 is a compound inequality.

Front

How do you solve a compound inequality like 2 < x + 1 < 5?

Back

To solve 2 < x + 1 < 5, subtract 1 from all parts: 1 < x < 4.

Front

What is the solution to the compound inequality x - 2 ≥ 1 or x + 3 < 5?

Back

The solution is x ≥ 3 or x < 2.

Front

How do you graph the solution of an inequality like x < 3?

Back

To graph x < 3, draw a number line, place an open circle at 3, and shade to the left.