Solving Graphing Single Variable 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, greater than or equal to, or less than or equal to the other.

Front

What does the symbol '>' mean?

Back

The symbol '>' means 'greater than'. For example, 6 > x means 6 is greater than x.

Front

What does the symbol '<' mean?

Back

The symbol '<' means 'less than'. For example, x < 4 means x is less than 4.

Front

What does the symbol '≥' mean?

Back

The symbol '≥' means 'greater than or equal to'. For example, x ≥ 20 means x is greater than or equal to 20.

Front

What does the symbol '≤' mean?

Back

The symbol '≤' means 'less than or equal to'. For example, x ≤ 8 means x is less than or equal to 8.

Front

How do you solve the inequality 2x + 5 > -13?

Back

Subtract 5 from both sides: 2x > -18. Then divide by 2: x > -9.

Front

What is the solution to the inequality x + 5 ≤ 13?

Back

Subtract 5 from both sides: x ≤ 8.

Front

How do you represent the solution x < -4 on a number line?

Back

Draw an open circle at -4 and shade to the left, indicating all numbers less than -4.

Front

What is the solution to the inequality 30 + x ≥ 50?

Back

Subtract 30 from both sides: x ≥ 20.

Front

What does it mean to graph an inequality?

Back

Graphing an inequality means to represent the solution set on a number line, showing all possible values that satisfy the inequality.