Graphing Inequalities

Front

What is an inequality?

Back

An inequality is a mathematical statement that compares two expressions and shows 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 '≥' represent in inequalities?

Back

'≥' means 'greater than or equal to'.

Front

What does the symbol '>' represent in inequalities?

Back

'>' means 'greater than'.

Front

What does the symbol '<' represent in inequalities?

Back

'<'' means 'less than'.

Front

How do you graph the inequality x ≥ 3 on a number line?

Back

Draw a number line, place a closed dot on 3, and shade to the right to indicate all numbers greater than or equal to 3.

Front

How do you graph the inequality x < -4 on a number line?

Back

Draw a number line, place an open dot on -4, and shade to the left to indicate all numbers less than -4.

Front

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

Back

A closed dot indicates that the number is included in the solution (≥ or ≤), while an open dot indicates that the number is not included (> or <).

Front

How would you express 'at least 5 volunteers' as an inequality?

Back

x > 5, where x represents the number of volunteers.

Front

If the Chicago Cubs have won more than 100 games, how is this expressed in inequality form?

Back

x > 100, where x represents the number of games won.

Front

What does the solution set of an inequality represent?

Back

The solution set of an inequality represents all the values that satisfy the inequality.