Solve and graph inequalities

Front

What does an open circle represent on a number line?

Back

An open circle indicates that the number is not included in the solution (e.g., x < 3).

Front

What does a closed circle represent on a number line?

Back

A closed circle indicates that the number is included in the solution (e.g., x ≤ 4).

Front

What is the solution to the inequality 3x - 7 < 2?

Back

x < 3.

Front

When solving an inequality, what happens to the inequality sign when you multiply or divide by a negative number?

Back

You flip the inequality sign.

Front

What is the solution to the inequality s - 10 ≤ 1?

Back

s ≤ 11.

Front

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

Back

Use an open circle at 4 and shade to the left.

Front

What does the inequality x ≥ -4 mean?

Back

x is greater than or equal to -4.

Front

What is the difference between < and ≤ in inequalities?

Back

< means 'less than' (not included), while ≤ means 'less than or equal to' (included).

Front

If you have the inequality 2x + 3 > 7, what is the first step to solve it?

Back

Subtract 3 from both sides to get 2x > 4.

Front

What is the solution to the inequality 5x < 20?

Back

x < 4.