Solving one step 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 in an inequality?

Back

The symbol '>' means 'greater than'. For example, x > 5 means x is greater than 5.

Front

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

Back

The symbol '<' means 'less than'. For example, x < 3 means x is less than 3.

Front

How do you solve the inequality x + 7 > 14?

Back

Subtract 7 from both sides: x > 14 - 7, so x > 7.

Front

What is the solution to the inequality -9h > -63?

Back

Divide both sides by -9 (remember to flip the inequality): h < 7.

Front

How do you represent the inequality 15 > -5 + z?

Back

Add 5 to both sides: 20 > z, or z < 20.

Front

What does the inequality 2.75 < d mean?

Back

It means that d is greater than 2.75.

Front

How do you solve the inequality 8x < 48?

Back

Divide both sides by 8: x < 6.

Front

What is the first step in solving an inequality?

Back

Identify the inequality symbol and isolate the variable on one side.

Front

What happens to the inequality sign when you multiply or divide by a negative number?

Back

The inequality sign flips. For example, if you have -x > 3 and divide by -1, it becomes x < -3.