Solving 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

'≥' means 'greater than or equal to'.

Front

What does the symbol '≤' mean?

Back

'≤' means 'less than or equal to'.

Front

How do you solve the inequality 3x + 1 ≥ 7?

Back

Subtract 1 from both sides: 3x ≥ 6. Then divide by 3: x ≥ 2.

Front

What is the solution to the inequality 11 + 3x ≤ 17?

Back

Subtract 11 from both sides: 3x ≤ 6. Then divide by 3: x ≤ 2.

Front

How do you solve the inequality 7x - 1 < 6?

Back

Add 1 to both sides: 7x < 7. Then divide by 7: x < 1.

Front

What is the solution to the inequality 3x + 1 < 7?

Back

Subtract 1 from both sides: 3x < 6. Then divide by 3: x < 2.

Front

What does it mean to graph an inequality?

Back

Graphing an inequality means to represent the solutions of the inequality on a number line, using open or closed circles to indicate whether endpoints are included.

Front

What is the difference between '>' and '≥'?

Back

'>' means 'greater than' (not including the endpoint), while '≥' means 'greater than or equal to' (including the endpoint).

Front

What is the solution to the inequality x ≥ 4?

Back

The solution includes all numbers greater than or equal to 4.