Inequalities and Graphing on a Number Line

Front

What does the inequality h > 48 represent in a real-world context?

Back

It means that a person's height (h) must be greater than 48 inches to ride the roller coaster.

Front

How do you graph the inequality h > 48 on a number line?

Back

Plot an open circle at 48 and shade to the right.

Front

What symbols require an open dot when graphing inequalities?

Back

The symbols < and >.

Front

What does the inequality g < 45 represent?

Back

It means that Grace has less than $45 in her purse.

Front

What does the symbol > mean?

Back

It means 'greater than'.

Front

How do you graph the inequality x < 5 on a number line?

Back

Plot an open circle at 5 and shade to the left.

Front

What does the inequality g ≤ 45 represent?

Back

It means that Grace has $45 or less in her purse.

Front

What is the difference between an open circle and a closed circle on a number line?

Back

An open circle indicates that the number is not included (e.g., < or >), while a closed circle indicates that the number is included (e.g., ≤ or ≥).

Front

If a student scores more than 80 on a test, how would you write this as an inequality?

Back

s > 80, where s is the student's score.

Front

How would you represent the statement 'x is at most 10' as an inequality?

Back

x ≤ 10.