Inequalities Review

Front

What is an inequality?

Back

An inequality is a mathematical statement that compares two expressions and shows that one is less than, greater than, less than or equal to, or greater than or equal to the other.

Front

How do you represent 'twenty-two more than four times a number' mathematically?

Back

It is represented as 4n + 22, where n is the number.

Front

What does the symbol '<' represent in an inequality?

Back

The symbol '<' means 'less than'.

Front

How do you write an inequality for a budget constraint?

Back

You express the total cost as less than or equal to the budget amount.

Front

What is the first step in solving an inequality?

Back

The first step is to isolate the variable on one side of the inequality.

Front

What does the inequality 8x + 6 ≤ 42 represent in a real-world scenario?

Back

It represents a situation where the total cost of renting shoes and playing games must not exceed $42.

Front

How do you interpret the graph of an inequality?

Back

The graph shows the range of values that satisfy the inequality, indicating which values are included or excluded.

Front

What does the inequality 125x + 55 < 600 represent?

Back

It represents the maximum number of hours a DJ can play while keeping the total cost under $600.

Front

What is the solution set of an inequality?

Back

The solution set is the set of all values that make the inequality true.

Front

How do you check if a number is a solution to an inequality?

Back

Substitute the number into the inequality and see if the statement holds true.