Writing & Solving One-Step Inequalities

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 in an inequality?

Back

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

Front

What does the symbol '>' mean in an inequality?

Back

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

Front

What does the symbol '≤' mean in an inequality?

Back

The symbol '≤' means 'less than or equal to'. For example, x ≤ 10 means x is less than or equal to 10.

Front

What does the symbol '≥' mean in an inequality?

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 26 < p + 28?

Back

Subtract 28 from both sides: 26 - 28 < p, which simplifies to -2 < p or p > -2.

Front

How do you solve the inequality -4 + y < -8?

Back

Add 4 to both sides: y < -8 + 4, which simplifies to y < -4.

Front

How do you solve the inequality r - 14 ≥ 17?

Back

Add 14 to both sides: r ≥ 17 + 14, which simplifies to r ≥ 31.

Front

If s ≤ 35, which number is NOT a solution?

Back

42 is NOT a solution because it is greater than 35.

Front

What is the solution set for the inequality -2 ≥ n?

Back

The solution set is all numbers less than or equal to -2.