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 (like <, >, ≤, or ≥).

Front

How do you solve a linear inequality?

Back

To solve a linear inequality, isolate the variable on one side of the inequality sign using inverse operations, similar to solving an equation.

Front

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

Back

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

Front

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

Back

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

Front

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

Back

The symbol '≥' means 'greater than or equal to' and 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 an inequality?

Back

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

Front

Is -6 a solution to the inequality c + 7 < -2?

Back

Yes, -6 is a solution because when you substitute c with -6, the inequality holds true.

Front

What is the first step to solve the equation 3x - 5 = 7?

Back

Add 5 to both sides of the equation to isolate the term with x.

Front

What type of mathematical statement is 3x > 7?

Back

It is an inequality.

Front

What is the solution to the inequality x < 2?

Back

The solution includes all numbers less than 2.