Solving and Graphing One Step 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 a closed circle on a number line represent?

Back

A closed circle indicates that the number is included in the solution set (≥ or ≤).

Front

What does an open circle on a number line represent?

Back

An open circle indicates that the number is not included in the solution set (> or <).

Front

How do you graph the inequality x ≥ 3?

Back

Draw a closed circle at 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?

Back

Draw an open circle at -4 and shade to the left to indicate all numbers less than -4.

Front

What is the solution to the inequality 6x ≤ 30?

Back

x ≤ 5, because dividing both sides by 6 gives x ≤ 5.

Front

What does the inequality b ≤ -2 mean?

Back

It means that b can be -2 or any number less than -2.

Front

How do you solve the inequality a + 13 ≥ 20?

Back

Subtract 13 from both sides to get a ≥ 7.

Front

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

Back

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

Front

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

Back

It represents all numbers greater than 3, with an open circle at 3 and shading to the right.