Unit 3 Extra Credit

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, greater than or equal to, or less than or equal to the other.

Front

What does 'at least' mean in mathematical terms?

Back

'At least' indicates that a value is greater than or equal to a certain number.

Front

How do you represent 'the sum of twice an unknown number n and 8 is at least 4' as an inequality?

Back

2n + 8 ≥ 4.

Front

What is the first step to solve the inequality 2n + 8 ≥ 4?

Back

Subtract 8 from both sides to isolate the term with the variable.

Front

What is the solution to the inequality 2n + 8 ≥ 4 after isolating the variable?

Back

2n ≥ -4.

Front

How do you solve for n in the inequality 2n ≥ -4?

Back

Divide both sides by 2 to find n.

Front

What is the final solution for n in the inequality 2n ≥ -4?

Back

n ≥ -2.

Front

What does it mean if a solution to an inequality is n ≥ -2?

Back

It means that n can be any number greater than or equal to -2.

Front

What is a compound inequality?

Back

A compound inequality combines two inequalities, often using 'and' or 'or' to connect them.

Front

What is the difference between 'and' and 'or' in compound inequalities?

Back

'And' means both conditions must be true, while 'or' means at least one condition must be true.