Solving Linear Inequalities in One Variable

Front

What is a linear inequality?

Back

A linear inequality is a mathematical statement that compares a linear expression to a value using inequality symbols (>, <, ≥, ≤).

Front

What does the symbol '>' mean in inequalities?

Back

The symbol '>' means 'greater than'. It indicates that the value on the left is larger than the value on the right.

Front

What does the symbol '<' mean in inequalities?

Back

The symbol '<' means 'less than'. It indicates that the value on the left is smaller than the value on the right.

Front

What does the symbol '≥' mean in inequalities?

Back

The symbol '≥' means 'greater than or equal to'. It indicates that the value on the left is either larger than or equal to the value on the right.

Front

What does the symbol '≤' mean in inequalities?

Back

The symbol '≤' means 'less than or equal to'. It indicates that the value on the left is either smaller than or equal to the value on the right.

Front

How do you solve the inequality 6x − 7 > 2x + 17?

Back

Combine like terms: 6x - 2x > 17 + 7; 4x > 24; x > 6.

Front

What is the solution to the inequality x < 5?

Back

The solution indicates that x can take any value less than 5.

Front

What is the solution to the inequality x > 5?

Back

The solution indicates that x can take any value greater than 5.

Front

How do you solve the inequality y < -14 / 3?

Back

The solution indicates that y can take any value less than -14/3.

Front

What does 'At most' mean in terms of inequalities?

Back

'At most' means that the value cannot exceed a certain limit, represented by the symbol ≤.