ASSESS: 1-4 Solving Inequalities in one variable

Front

What is an inequality?

Back

An inequality is a mathematical statement that compares two expressions using inequality symbols (>, <, ≥, ≤) to show that one expression is greater than, less than, or equal to another.

Front

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

Back

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

Front

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

Back

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

Front

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

Back

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

Front

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

Back

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

Front

How do you solve the inequality 3(x – 1) ≥ –9?

Back

To solve, first distribute: 3x - 3 ≥ -9. Then add 3 to both sides: 3x ≥ -6. Finally, divide by 3: x ≥ -2.

Front

What is the solution to the inequality –2x > –10?

Back

To solve, divide by -2 (remember to flip the inequality): x < 5.

Front

What does it mean to graph an inequality?

Back

Graphing an inequality involves representing the solution set on a number line, using open or closed dots to indicate whether endpoints are included.

Front

When do you use a closed dot on a number line?

Back

A closed dot is used when graphing inequalities with '≤' or '≥', indicating that the endpoint is included in the solution.

Front

When do you use an open dot on a number line?

Back

An open dot is used when graphing inequalities with '<' or '>', indicating that the endpoint is not included in the solution.