Solving Single Step Inequalities (no negatives)

Front

What is an inequality?

Back

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

Front

What does the symbol '<' mean?

Back

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

Front

What does the symbol '>' mean?

Back

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

Front

What does the symbol '≤' mean?

Back

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

Front

What does the symbol '≥' mean?

Back

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

Front

How do you solve the inequality 8x < 48?

Back

Divide both sides by 8: x < 6.

Front

Is 9 a solution to the inequality 4k ≥ 36?

Back

Yes, because if you substitute k = 9, 4(9) = 36, which satisfies the inequality.

Front

How do you solve the inequality 24 ≤ h + 15?

Back

Subtract 15 from both sides: h ≥ 9.

Front

How do you solve the inequality 126 < f + 32?

Back

Subtract 32 from both sides: f > 94.

Front

How do you solve the inequality z ≤ 9?

Back

The solution is z ≤ 9, meaning z can be any number less than or equal to 9.