Intro to Inequalities

Front

What is an inequality?

Back

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

Front

What does the symbol '≥' mean?

Back

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

Front

What does the symbol '≤' mean?

Back

'≤' means 'less than or equal to'. It indicates that the value on the left is either less than or equal to the value on the right.

Front

How do you solve the inequality @@x ge -2@@?

Back

To solve @@x ge -2@@, you find all values of x that are greater than or equal to -2.

Front

What is the solution to the inequality @@-3x ge 18@@?

Back

Front

What is the cost of 2.5 hours of labor if a plumber charges $25 per hour plus a $50 service fee?

Back

The total cost is $112.50, calculated as $50 + (2.5 hours * $25/hour).

Front

What does a closed dot on a number line represent when graphing inequalities?

Back

A closed dot represents that the number is included in the solution set, used for symbols ≤ and ≥.

Front

What does an open dot on a number line represent when graphing inequalities?

Back

An open dot represents that the number is not included in the solution set, used for symbols < and >.

Front

How do you graph the inequality @@11 ge a@@?

Back

You would draw a closed dot at 11 and shade to the right, indicating all values greater than or equal to 11.

Front

What is the difference between 'greater than' and 'greater than or equal to'?

Back

'Greater than' (>) does not include the number itself, while 'greater than or equal to' (≥) does include the number.