Understanding Inequalities and Number Lines

The video introduces inequalities, a concept often encountered at the GCSE level, and explains their representation using symbols and number lines. It covers the basic rules of inequalities, including how multiplying or dividing by positive or negative numbers affects the inequality symbols. The video aims to build a foundation for solving quadratic inequalities by first understanding linear inequalities.

What is the primary focus of this chapter on inequalities?

• Studying geometric shapes

• Understanding quadratic inequalities

• Solving linear equations

• Learning about fractions

Which symbol represents 'greater than or equal to'?

• ≤

• ≥

• >

• <

Which inequality symbol is used to represent 'less than or equal to'?

• <

• >

• ≤

• ≥

How is 'X can be greater than or equal to three' represented on a number line?

• With a hollow dot at three

• With a hollow dot at three and shading to the right

• With a solid dot at three and shading to the left

• With a solid dot at three and shading to the right

What does a hollow dot on a number line indicate?

• The number is included

• The number is not included

• The number is greater than the value

• The number is less than the value

What does a solid dot on a number line indicate?

• The number is less than the value

• The number is not included

• The number is included

• The number is greater than the value

What happens to an inequality when both sides are multiplied by a positive number?

• The inequality is reversed

• The inequality remains the same

• The inequality symbol changes

• The inequality becomes an equation

If 3 < 4, what is the result of multiplying both sides by 2?

• 6 = 8

• 6 ≤ 8

• 6 > 8

• 6 < 8

What is the result of multiplying both sides of the inequality 2 < 3 by 0?

• 0 = 0

• Inequality is invalid

• 0 < 0

• 0 > 0

What must be done to the inequality symbol when multiplying both sides by a negative number?

• The symbol is removed

• The symbol is reversed

• The symbol remains unchanged

• The symbol is doubled