Inequalities, Graphs, and Such

Front

What is an inequality?

Back

An inequality is a mathematical statement that compares two expressions, showing that one is greater than, less than, greater than or equal to, or less than or equal to the other.

Front

What does the symbol '≥' mean?

Back

The symbol '≥' means 'greater than or equal to'.

Front

What does the symbol '≤' mean?

Back

The symbol '≤' means 'less than or equal to'.

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 in the solution (e.g., x > 3), while a closed circle indicates that the number is included (e.g., x ≥ 3).

Front

How do you graph the inequality r ≥ -6?

Back

You would place a closed circle on -6 and shade to the right to indicate all numbers greater than or equal to -6.

Front

What does the inequality x < 4 represent on a number line?

Back

It represents all numbers less than 4, with an open circle at 4.

Front

If you have the inequality x > 45, how would you graph it?

Back

You would place an open circle on 45 and shade to the right.

Front

What is the solution to the inequality 6t + 4 ≤ -2?

Back

The solution is t ≤ -1.

Front

How do you determine if a circle is open or closed when graphing inequalities?

Back

If the inequality is strict (>, <), use an open circle; if it includes equality (≥, ≤), use a closed circle.

Front

What does the inequality 6 > x mean?

Back

It means that x can be any number less than 6.