Understanding Inequalities and Keywords

The video tutorial by Mumu Math and Science explains how to convert words into inequalities. It outlines the steps to identify keywords, determine the appropriate inequality sign, and graph the inequality on a number line. The video provides examples, such as 'at least 25 students,' 'fewer than 10 miles,' and a weight range between 80 and 110. It also highlights keywords that indicate which inequality sign to use, such as 'at least,' 'fewer than,' and 'no more than.'

What is the first step in converting words to inequalities?

• Graphing the inequality

• Identifying keywords

• Substituting numbers

• Solving the inequality

If a statement says 'at least 25 students', which inequality symbol should be used?

• Less than

• Greater than or equal to

• Greater than

• Less than or equal to

Which keyword indicates a 'less than or equal to' inequality?

• At most

• Greater than

• At least

• Minimum

Which of the following is a keyword for a 'greater than or equal to' inequality?

• Maximum

• Less than

• No less than

• Fewer than

What is the inequality for 'at most 50'?

• X ≥ 50

• X ≤ 50

• X < 50

• X > 50

How would you represent 'fewer than 10 miles' as an inequality?

• X ≤ 10

• X ≥ 10

• X < 10

• X > 10

In the context of inequalities, what does an open dot on a number line signify?

• The inequality is greater than or equal to

• The number is included

• The inequality is less than or equal to

• The number is not included

How would you express 'more than 80 but no more than 110' as a compound inequality?

• 80 < X ≤ 110

• 80 ≤ X < 110

• X > 80 and X < 110

• X ≥ 80 and X ≤ 110

What does a closed dot on a number line indicate?

• The number is included

• The inequality is strict

• The number is not included

• The inequality is less than

Which inequality symbol represents 'more than'?

• <

• ≥

• >

• ≤