Writing and Graphing Inequalities

Front

What is an inequality?

Back

An inequality is a mathematical statement that compares two expressions using inequality symbols such as <, >, ≤, or ≥.

Front

What does the symbol '≥' represent in an inequality?

Back

'≥' means 'greater than or equal to', indicating that the value on the left is either greater than or equal to the value on the right.

Front

How do you graph the inequality x > 3?

Back

To graph x > 3, draw a number line, place an open circle on 3 (indicating 3 is not included), and shade to the right to show all numbers greater than 3.

Front

What does the inequality t ≥ -4 signify in a real-world context?

Back

It signifies that the temperature will be at least -4 degrees, meaning it can be -4 degrees or any temperature higher.

Front

How do you interpret the inequality c ≥ 25 in a practical scenario?

Back

It means that there are at least 25 cats on the porch, indicating that the number of cats could be 25 or more.

Front

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

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 would you express the statement 'the score must be less than 50' as an inequality?

Back

The inequality would be s < 50, where s represents the score.

Front

What does the inequality 1/2 > b mean?

Back

It means that the value of b must be less than 1/2.

Front

How do you determine if a graph represents the inequality 5 ≥ x?

Back

The graph should show a closed circle at 5 and shade to the left, indicating that all values less than or equal to 5 are included.

Front

What is the significance of the inequality symbol '<'?

Back

The symbol '<' means 'less than', indicating that the value on the left is smaller than the value on the right.