Solving 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 '≥' represent in inequalities?

Back

'≥' means 'greater than or equal to'.

Front

What does the symbol '≤' represent in inequalities?

Back

'≤' means 'less than or equal to'.

Front

How do you solve the inequality 2x - 3 ≥ 4x - 1?

Back

Rearranging gives x ≤ -1.

Front

What is the solution to the inequality -1(2x + 4) ≥ 6?

Back

The solution is x ≤ -5.

Front

How do you solve the inequality 6x - 4 ≥ 26?

Back

Rearranging gives x ≥ 5.

Front

What does the symbol '>' represent in inequalities?

Back

'>' means 'greater than'.

Front

What does the symbol '<' represent in inequalities?

Back

'<' means 'less than'.

Front

How do you solve the inequality -2x + 2 > 3x - 8?

Back

Rearranging gives x < 2.

Front

What is the solution to the inequality 4x - 3 < -1x + 12?

Back

The solution is x < 3.