Solve and Graph Inequalities

Front

What is an inequality?

Back

An inequality is a mathematical statement that compares two expressions using inequality symbols such as <, >, ≤, 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 represent 'four times a number increased by 7 is at least 19' as an inequality?

Back

4x + 7 ≥ 19.

Front

What is the solution to the inequality 4x + 7 ≥ 19?

Back

x ≥ 3.

Front

When do you flip the inequality sign?

Back

You flip the inequality sign when you multiply or divide both sides of the inequality by a negative number.

Front

What type of circle is used to graph x < 3?

Back

An open circle is used to graph x < 3.

Front

What does the number line graph for x ≥ 3 look like?

Back

It includes a closed circle at 3 and a line extending to the right.

Front

What is the difference between '>' and '≥'?

Back

'>' means 'greater than' while '≥' means 'greater than or equal to'.

Front

What does the inequality x < -3 represent on a number line?

Back

It represents all numbers less than -3, with an open circle at -3.