Inequalities and Their Solutions

Front

What is an inequality?

Back

An inequality is a mathematical statement that compares two expressions using inequality symbols (e.g., <, >, ≤, ≥) to show that one expression is not equal to the other.

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 symbol 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 symbol is smaller than the value on the right side.

Front

How do you solve the inequality 5z - 2 - 2z < 13?

Back

Combine like terms: 3z - 2 < 13. Then add 2 to both sides: 3z < 15. Finally, divide by 3: z < 5.

Front

What is the solution to the inequality -4(-7-5x) > 188?

Back

Distribute -4: 28 + 20x > 188. Subtract 28 from both sides: 20x > 160. Divide by 20: x > 8.

Front

What does a correlation coefficient of -0.84 indicate?

Back

A correlation coefficient of -0.84 indicates a strong negative linear relationship between the two variables.

Front

When do you flip the inequality sign when solving?

Back

You flip the inequality sign when multiplying or dividing both sides of an inequality by a negative number.

Front

What is the inequality to represent needing to spend more for free shipping if shoes cost $69.95?

Back

Let X be the amount needed to spend. The inequality is X ≥ 5.05.

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 greater 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 less than or equal to the value on the right side.