Inequalities and Their Solutions

Front

What is an inequality?

Back

An inequality is a mathematical statement that compares two expressions using inequality symbols such as <, >, ≤, or ≥.

Front

What does it mean to flip the inequality sign?

Back

Flipping the inequality sign occurs when you multiply or divide both sides of an inequality by a negative number.

Front

Solve the inequality: 2x < 6. What is x?

Back

x < 3.

Front

What is the solution to the inequality: -3x ≥ 9?

Back

x ≤ -3.

Front

How do you graph the inequality x > 4?

Back

Draw a number line, place an open circle at 4, and shade to the right.

Front

What does the inequality x ≤ 5 represent on a number line?

Back

It represents all numbers less than or equal to 5, including 5 itself.

Front

What is the correlation coefficient?

Back

The correlation coefficient is a statistical measure that describes the strength and direction of a relationship between two variables.

Front

What does a correlation coefficient of -0.84 indicate?

Back

It indicates a strong negative linear relationship between the two variables.

Front

If 11 ≤ a, what does this mean?

Back

It means that a is greater than or equal to 11.

Front

How do you solve the inequality: x/4 ≤ 8?

Back

Multiply both sides by 4 to get x ≤ 32.