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

Tags

CCSS.7.EE.A.2

CCSS.HSA.SSE.A.2

What does the phrase 'at most' indicate?

• Less than or equal to

• Greater than

• Less than

• Greater than or equal to

Tags

CCSS.6.EE.B.8

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

• <

• <=

• >=

• >

Tags

CCSS.6.EE.B.8

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

• <

• >

• <=

• >=

Tags

CCSS.6.EE.B.8

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

Tags

CCSS.7.EE.B.4B

What does 'twice a number x' mean?

• 2x

• x / 2

• x + 2

• x - 2

Tags

CCSS.6.EE.A.2A

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

• >=

• <=

• >

• <

Tags

CCSS.7.EE.B.4B

What does the phrase 'is more than' indicate?

• Equal to

• Greater than

• Less than

• Not equal to

Tags

CCSS.6.EE.B.8

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

Tags

CCSS.6.EE.B.8