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

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

Back

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

Front

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

Back

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

Front

How do you solve the inequality c + 7 < -2?

Back

To solve c + 7 < -2, subtract 7 from both sides: c < -2 - 7, which simplifies to c < -9.

Front

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

Back

Yes, -6 is a solution because when you substitute -6 for c, -6 + 7 = 1, which is not less than -2.

Front

What does it mean if a number is a solution to an inequality?

Back

A number is a solution to an inequality if, when substituted into the inequality, it makes the statement true.

Front

What is the difference between an equation and an inequality?

Back

An equation states that two expressions are equal, while an inequality shows that one expression is greater than or less than another.

Front

What is the solution set of an inequality?

Back

The solution set of an inequality is the set of all values that satisfy the inequality.

Front

How do you graph a linear inequality on a number line?

Back

To graph a linear inequality, use an open circle for '<' or '>' and a closed circle for '≤' or '≥', then shade the appropriate side of the number line.

Front

What does it mean to 'isolate the variable' in an inequality?

Back

To isolate the variable means to get the variable alone on one side of the inequality sign.