Graphing Inequalities

Front

What does the inequality x ≥ 48 represent in a real-world context?

Back

It indicates that a person must be at least 48 inches tall to ride the roller coaster.

Front

How do you interpret the inequality a ≥ 11 in terms of graphing?

Back

It means that the graph will include all values of 'a' that are greater than or equal to 11, typically represented with a closed circle at 11 and shading to the right.

Front

What does the inequality 6 > x imply about the value of x?

Back

It means that x must be less than 6.

Front

In the context of reading time, what does the inequality x ≥ 20 signify?

Back

It signifies that Edith must read for 20 minutes or more every night.

Front

What does the inequality x ≤ 20 indicate about spending money?

Back

It indicates that you can spend no more than 20 dollars on a birthday present.

Front

What is the graphical representation of the inequality x < 5?

Back

The graph will show an open circle at 5 and a line extending to the left, indicating all values less than 5.

Front

How do you represent the inequality x > 10 on a number line?

Back

You would place an open circle at 10 and shade to the right, indicating all values greater than 10.

Front

What is the difference between a closed circle and an open circle on a graph of inequalities?

Back

A closed circle indicates that the number is included in the solution (≥ or ≤), while an open circle indicates that the number is not included (> or <).

Front

How can you express the phrase 'at least' in terms of inequalities?

Back

'At least' translates to a greater than or equal to (≥) inequality.

Front

What does the phrase 'no more than' mean in terms of inequalities?

Back

'No more than' translates to a less than or equal to (≤) inequality.