Question Video: Drawing Inequalities on a Number Line

Video Transcript

Which part of the shown line represents the set of solutions to the inequality 𝑥 is greater than three and less than 56? Is it (A), (B), or (C)?

Part (A) of the graph represents the set of solutions to the left of three. This means that 𝑥 is less than three. Part (C) represents the set of solutions to the right of 56. This can be represented by the inequality 𝑥 is greater than 56. Part (B) represents the set of solutions between three and 56. This can be written as 𝑥 is greater than three and less than 56. The correct answer is therefore part (B).