GCSE Maths - Solving Algebraic Inequalities with 1 Inequality Sign (Inequalities Part 2) #57

The video tutorial explains how to solve inequalities similarly to equations, emphasizing the importance of isolating the variable. It highlights the key difference when multiplying or dividing by negative numbers, which requires flipping the inequality sign. The tutorial covers simple, two-step, and complex inequalities, providing multiple methods for solving them. It encourages flexibility in approach, depending on the problem's structure.

What is the key difference when solving inequalities compared to equations?

• You must always add a constant to both sides.

• The inequality sign must be swapped when adding a negative number.

• The inequality sign must be swapped when multiplying or dividing by a negative number.

• You can ignore the inequality sign.

In the example where X + 3 is less than 8, what is the value of X?

• X is less than 5

• X is more than 5

• X is equal to 5

• X is less than 8

When solving the inequality 7 + 2X is more than or equal to 13, what is the final value of X?

• X is less than or equal to 3

• X is more than or equal to 3

• X is more than or equal to 6

• X is equal to 3

What happens to the inequality sign when you divide both sides by a negative number?

• It becomes a greater than sign.

• It swaps direction.

• It changes to an equal sign.

• It remains the same.

In the alternative method for solving -3X is less than or equal to -15, what is the final inequality for X?

• X is less than 5

• X is more than or equal to 5

• X is less than or equal to 5

• X is equal to 5