4.4 Inequalities Review

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

The symbol '>' means 'greater than'. For example, x > 5 means x is greater than 5.

Front

What does the symbol '≥' mean?

Back

The symbol '≥' means 'greater than or equal to'. For example, y ≥ 10 means y is greater than or equal to 10.

Front

How do you determine if a number is a solution to an inequality?

Back

To determine if a number is a solution to an inequality, substitute the number into the inequality and check if the statement is true.

Front

What is the solution to the inequality u > -1/2 when u = 0?

Back

Solution: Yes, 0 > -1/2 is true.

Front

What is the solution to the inequality z ≥ -3 when z = 1?

Back

Solution: Yes, 1 ≥ -3 is true.

Front

How can you represent '10 less than the product of a number and three' mathematically?

Back

The expression is 3y - 10.

Front

What is the word sentence for the inequality s ≥ 10?

Back

The score s in a basketball game is greater than or equal to 10 points.

Front

What does the graph of an inequality represent?

Back

The graph of an inequality represents all the possible solutions that satisfy the inequality.

Front

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

Back

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