Unit 3 Extra Credit (copy)

Front

What is an inequality?

Back

An inequality is a mathematical statement that compares two expressions, showing that one is greater than, less than, or not 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 phrase '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 n.

Front

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

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 n is greater than or equal to -2?

Back

It means that n can be any number that is -2 or larger.

Front

What is a key characteristic of inequalities compared to equations?

Back

Inequalities can have a range of solutions, while equations typically have a single solution.

Front

What is the graphical representation of the inequality n ≥ -2?

Back

A number line with a closed dot at -2 and a line extending to the right.