Solving and Graphing 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 'greater than'.

Front

What does the symbol '<' mean?

Back

The symbol '<' means 'less than'.

Front

What does the symbol '≥' mean?

Back

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

Front

What does the symbol '≤' mean?

Back

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

Front

How do you graph the inequality x < 4?

Back

Draw a number line, place an open circle at 4, and shade to the left.

Front

How do you graph the inequality x ≥ -4?

Back

Draw a number line, place a closed circle at -4, and shade to the right.

Front

Solve the inequality: 6 - 2h > 30.

Back

h < -12.

Front

Solve the inequality: 7b - 3 < 11.

Back

b < 2.

Front

What is the solution set for the inequality x < 4?

Back

The solution set includes all numbers less than 4.