Writing and Graphing Inequalities

Front

What is an inequality?

Back

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

Front

What does the symbol '≥' mean?

Back

'≥' means 'greater than or equal to'.

Front

What does the symbol '≤' mean?

Back

'≤' means 'less than or equal to'.

Front

How do you graph the inequality n < -2?

Back

You draw a number line, place an open circle at -2, and shade to the left.

Front

Is -2 a solution for the inequality p ≤ -2?

Back

Yes, -2 is a solution because it satisfies the condition.

Front

Is -7 a solution for the inequality x ≤ -10?

Back

No, -7 is not a solution because it is greater than -10.

Front

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

Back

Substitute the number into the inequality and see if the statement is true.

Front

What is the solution set of the inequality y + 4 < 16?

Back

The solution set is all values of y that are less than 12.

Front

How do you represent the solution set of an inequality on a number line?

Back

Use open circles for < or > and closed circles for ≤ or ≥, shading the appropriate direction.

Front

What is the difference between a strict inequality and a non-strict inequality?

Back

A strict inequality (< or >) does not include the boundary point, while a non-strict inequality (≤ or ≥) does.