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, or equal to the other.

Front

What does the symbol '<' mean?

Back

The symbol '<' means 'is less than'.

Front

What does the symbol '>' mean?

Back

The symbol '>' means 'is greater than'.

Front

What does the symbol '≤' mean?

Back

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

Front

What does the symbol '≥' mean?

Back

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

Front

How do you graph the inequality x < 3?

Back

You draw a number line, place an open dot at 3, and shade to the left.

Front

How do you graph the inequality x ≥ 2?

Back

You draw a number line, place a closed dot at 2, and shade to the right.

Front

What is the difference between an open dot and a closed dot in graphing inequalities?

Back

An open dot indicates that the number is not included (e.g., <), while a closed dot indicates that the number is included (e.g., ≤).

Front

What is a compound inequality?

Back

A compound inequality combines two inequalities, such as x < 5 and x > 1, and is often written as 1 < x < 5.

Front

How do you solve the inequality 2x + 3 < 7?

Back

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