Solving Inequalities (Version 2.0)

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

The symbol '<' means 'less than'.

Front

What does the symbol '>' represent in inequalities?

Back

The symbol '>' means 'greater than'.

Front

What does the symbol '≤' represent in inequalities?

Back

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

Front

What does the symbol '≥' represent in inequalities?

Back

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

Front

How do you solve the inequality \( \frac{b}{2} < 13 \)?

Back

Multiply both sides by 2 to get \( b < 26 \).

Front

What is the solution to the inequality represented by the number line graph that shows all values less than -4?

Back

The solution is \( x < -4 \).

Front

How do you solve the inequality \( x - 1 \le -9 \)?

Back

Add 1 to both sides to get \( x \le -8 \).

Front

How do you solve the inequality \( -4d - 9 \le 3 \)?

Back

Add 9 to both sides to get \( -4d \le 12 \), then divide by -4 (remember to flip the inequality) to get \( d \ge -3 \).

Front

When do you flip the inequality symbol?

Back

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