Translating Statements into Inequalities

This video tutorial explains how to write inequalities from given statements by identifying key phrases and using appropriate inequality symbols. It covers common phrases like 'less than', 'greater than', 'at most', and 'at least', and demonstrates how to translate these into mathematical expressions. The tutorial includes four examples, each focusing on a different variable, to illustrate the process of converting statements into inequalities.

What is the main focus of this video?

• Graphing functions

• Writing inequalities from statements

• Solving equations

• Calculating derivatives

Which symbol is used when the phrase 'fewer than' is mentioned?

• Not equal to

• Equal to

• Less than

• Greater than

What does the phrase 'at most' indicate?

• Less than or equal to

• Greater than

• Less than

• Greater than or equal to

Which symbol is used for the phrase 'no less than'?

• <

• <=

• >=

• >

If a statement includes 'is less than or equal to', which symbol should be used?

• <

• >

• <=

• >=

In the statement '3 is less than a number n plus 5', what is the inequality?

• 3 >= n + 5

• 3 <= n + 5

• 3 < n + 5

• 3 > n + 5

What does 'twice a number x' mean?

• 2x

• x / 2

• x + 2

• x - 2

In the inequality '0 is at least twice the number x plus 1', what is the correct symbol?

• >=

• <=

• >

• <

What does the phrase 'is more than' indicate?

• Equal to

• Greater than

• Less than

• Not equal to

In the statement '15 is more than a number t divided by 5', what is the inequality?

• 15 < t / 5

• 15 > t / 5

• 15 <= t / 5

• 15 >= t / 5