Q 5.2 (P5)

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, or not equal to the other.

Front

What does the symbol '>' represent in inequalities?

Back

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

Front

What does the symbol '<' represent in inequalities?

Back

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

Front

What does the symbol '≥' represent in inequalities?

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 '≤' represent in inequalities?

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 5x - 4 > 21?

Back

Add 4 to both sides: 5x > 25. Then divide by 5: x > 5.

Front

What is the solution to the inequality 6t + 4 ≤ -2?

Back

Subtract 4 from both sides: 6t ≤ -6. Then divide by 6: t ≤ -1.

Front

How do you graph the inequality x ≥ -5 on a number line?

Back

Draw a number line, place a closed circle on -5, and shade to the right to indicate all numbers greater than or equal to -5.

Front

What is the solution to the inequality 4x - 2 ≤ -22?

Back

Add 2 to both sides: 4x ≤ -20. Then divide by 4: x ≤ -5.

Front

How do you solve the inequality 3x + 7 < 22?

Back

Subtract 7 from both sides: 3x < 15. Then divide by 3: x < 5.