Topic 1 Review: part 1

Front

What is an inequality?

Back

An inequality is a mathematical statement that compares two expressions and shows that one is greater than, less than, or not equal to the other. Examples include >, <, ≥, and ≤.

Front

What does the equation 4x + 12 > 20 represent?

Back

This inequality represents a situation where the total number of goals scored (4 times the number of goals in the last 4 games plus 12) is greater than 20.

Front

How do you solve the inequality 2x + 1 > 9?

Back

To solve, subtract 1 from both sides to get 2x > 8, then divide by 2 to find x > 4.

Front

What is the solution set for the inequality x - 4 < 6?

Back

Add 4 to both sides to get x < 10.

Front

What does the equation 12h + 50 > 100 represent?

Back

This inequality represents Heaven's total earnings from hourly wages and tips being greater than $100.

Front

How do you isolate the variable in the inequality 25p + 50 ≥ 200?

Back

Subtract 50 from both sides to get 25p ≥ 150, then divide by 25 to find p ≥ 6.

Front

What is the meaning of absolute value in inequalities?

Back

Absolute value represents the distance of a number from zero on the number line, regardless of direction. For example, |x| < 5 means x is between -5 and 5.

Front

What does the solution t < -2 or t > 5 indicate?

Back

This solution indicates that t can take any value less than -2 or any value greater than 5.

Front

What is the significance of the solution set being 'All real numbers'?

Back

This means that any real number satisfies the inequality, indicating no restrictions on the values of the variable.

Front

How do you interpret the inequality 4x + 12 > 20 in a real-world context?

Back

It can represent a scenario where a player needs to score a certain number of goals to meet or exceed a target.