Write Inequality from a Word Problem

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 a word problem as an inequality?

Back

To represent a word problem as an inequality, identify the quantities involved, determine the relationship between them, and express that relationship using inequality symbols.

Front

What does the symbol '≤' mean in an inequality?

Back

The symbol '≤' means 'less than or equal to', indicating that the value on the left can be less than or equal to the value on the right.

Front

What does the symbol '≥' mean in an inequality?

Back

The symbol '≥' means 'greater than or equal to', indicating that the value on the left can be greater than or equal to the value on the right.

Front

In the inequality 15 + 6x ≤ 100, what does 'x' represent?

Back

In this inequality, 'x' represents the number of people Andrea can invite to play laser tag.

Front

How do you solve the inequality 8x + 6 ≤ 42 for 'x'?

Back

To solve for 'x', first subtract 6 from both sides to get 8x ≤ 36, then divide both sides by 8 to find x ≤ 4.5.

Front

What is the first step in writing an inequality from a word problem?

Back

The first step is to identify the key quantities and their relationships described in the problem.

Front

What does the inequality 22 + 4n < 82 represent?

Back

This inequality represents the situation where twenty-two more than four times a number 'n' is less than 82.

Front

How can you check if your inequality is correct?

Back

You can check if your inequality is correct by substituting values into the inequality to see if the relationship holds true.

Front

What is the importance of the constant term in an inequality?

Back

The constant term in an inequality represents fixed values or starting amounts that affect the overall relationship.