Solving 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

The symbol '≥' means 'greater than or equal to'.

Front

What does the symbol '≤' mean?

Back

The symbol '≤' means 'less than or equal to'.

Front

When do we flip the inequality symbol?

Back

We flip the inequality symbol when we multiply or divide both sides of the inequality by a negative number.

Front

Solve the inequality: 2x + 3 < 11

Back

x < 4

Front

Solve the inequality: 5x - 2 ≥ 3

Back

x ≥ 1

Front

What is the solution set for the inequality x + 4 > 10?

Back

x > 6

Front

If x - 7 ≤ 2, what is x?

Back

x ≤ 9

Front

What does the inequality x < 5 represent on a number line?

Back

It represents all numbers to the left of 5, not including 5.

Front

How do you represent the solution x ≥ 3 on a number line?

Back

Draw a closed circle on 3 and shade to the right.