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

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 does the symbol '≥' mean?

Back

The symbol '≥' means 'greater than or equal to'.

Front

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

Back

Subtract 8 from both sides of the inequality.

Front

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

Back

2n ≥ -4

Front

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

Back

Divide both sides of the inequality by 2.

Front

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

Back

n ≥ -2

Front

What does it mean if a solution is 'at least' a certain value?

Back

It means the value can be that number or any number greater than it.

Front

What is a 'solution set' in the context of inequalities?

Back

A solution set is the set of all values that satisfy the inequality.

Front

How can you graph the inequality n ≥ -2 on a number line?

Back

Draw a closed circle on -2 and shade to the right to indicate all numbers greater than -2.