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 '>' represent in an inequality?

Back

'>' means 'greater than'. For example, x > 5 means x is any number greater than 5.

Front

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

Back

'<'' means 'less than'. For example, x < 3 means x is any number less than 3.

Front

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

Back

'≥' means 'greater than or equal to'. For example, x ≥ 10 means x is any number greater than or equal to 10.

Front

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

Back

'≤' means 'less than or equal to'. For example, x ≤ 4 means x is any number less than or equal to 4.

Front

How do you solve the inequality 2x + 3 < 11?

Back

Subtract 3 from both sides: 2x < 8. Then divide by 2: x < 4.

Front

What is the solution to the inequality 3x - 5 ≥ 4?

Back

Add 5 to both sides: 3x ≥ 9. Then divide by 3: x ≥ 3.

Front

How do you represent a speed limit of 55 mph in an inequality?

Back

s ≤ 55, where s represents the speed.

Front

Is the number 20 a solution to the inequality a/4 < -4?

Back

No, because 20/4 = 5, which is not less than -4.

Front

Is the number -7 a solution to the inequality c - 4 ≤ 11?

Back

Yes, because -7 - 4 = -11, which is less than or equal to 11.