Solving Inequalities

Front

What is an inequality?

Back

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

Front

What does the symbol < mean?

Back

The symbol < means 'less than'.

Front

What does the symbol > mean?

Back

The symbol > means 'greater than'.

Front

What does the symbol ≤ mean?

Back

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

Front

What does the symbol ≥ mean?

Back

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

Front

How do you graph the inequality k < 3?

Back

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

Front

What is the solution to the inequality 2x + 3 < 7?

Back

x < 2.

Front

What is the first step to solve the inequality 5x - 2 ≥ 3?

Back

Add 2 to both sides: 5x ≥ 5.

Front

What is the solution to the inequality 3x + 4 < 10?

Back

x < 2.

Front

What does it mean to have a closed dot on a graph?

Back

A closed dot indicates that the number is included in the solution (≤ or ≥).