Solving Inequalities

Front

What is an inequality?

Back

An inequality is a mathematical statement that compares two expressions using symbols such as <, >, ≤, or ≥.

Front

What does the symbol '>' mean in an inequality?

Back

The symbol '>' means 'greater than'. For example, x > 5 means x is greater than 5.

Front

What does the symbol '<' mean in an inequality?

Back

The symbol '<' means 'less than'. For example, x < 3 means x is less than 3.

Front

What does the symbol '≥' mean in an inequality?

Back

The symbol '≥' means 'greater than or equal to'. For example, x ≥ 4 means x is greater than or equal to 4.

Front

What does the symbol '≤' mean in an inequality?

Back

The symbol '≤' means 'less than or equal to'. For example, x ≤ 2 means x is less than or equal to 2.

Front

How do you solve the inequality 11x + 16 < 43 + 2x?

Back

First, subtract 2x from both sides: 9x + 16 < 43. Then, subtract 16 from both sides: 9x < 27. Finally, divide by 9: x < 3.

Front

How do you solve the inequality 8x ≥ -32?

Back

Divide both sides by 8: x ≥ -4.

Front

How do you solve the inequality 3x + 4 > 13?

Back

First, subtract 4 from both sides: 3x > 9. Then, divide by 3: x > 3.

Front

What does it mean if a dot is colored in on a number line for the inequality 5 ≥ x?

Back

It means that 5 is included in the solution set, indicating that x can be equal to 5.

Front

How do you solve the inequality s + 9 ≥ -25?

Back

Subtract 9 from both sides: s ≥ -34.