Less Than

If x is zero, is the following true?

2x - 14 < 5x - 5 < 7x - 7

In the back of your books write down at least 10 values of x which satisfy this inequality statement.

"<" means "is less than"


Topics: Starter | Algebra

  • Transum,
  •  
  • This quite an advanced mathematical statement but sometimes it is effective for pupils to learn about a concept by unpicking a more complex problem rather than starting with the very simplest examples. A little 'trial and improvement' is expected though of course those with experience of solving inequalities may choose to solve the problem in the way the answer is presented below.
  • John Tranter,
  •  
  • Never smile at a crocodile,
    Beware its welcome grin,
    Don't stand too close to its open mouth
    in case you topple in!
    If the open mouth faces to the left,
    Remember this you might,
    The number there is bigger than
    the number to the right.
    If the open mouth faces to the right,
    Learn this fact by heart,
    The number there is bigger than
    the number at the start.
  • Transum, Twitter
  •  

How did you use this starter? Can you suggest how teachers could present or develop this resource? Do you have any comments? It is always useful to receive feedback and helps make this free resource even more useful for Maths teachers anywhere in the world.
Click here to enter your comments.

Previous Day | This starter is for 10 May | Next Day

 

Answers

2x - 14 < 5x - 5
-9 < 3x
x > -3
5x - 5 < 7x - 7
2 < 2x
x > 1

Note to teacher: Doing this activity once with a class helps students develop strategies. It is only when they do this activity a second time that they will have the opportunity to practise those strategies. That is when the learning is consolidated. Click the button above to regenerate another version of this starter from random numbers.



Your access to the majority of the Transum resources continues to be free but you can help support the continued growth of the website by doing your Amazon shopping using the links on this page. Below is an Amazon link. As an Amazon Associate I earn a small amount from qualifying purchases which helps pay for the upkeep of this website.

Educational Technology on Amazon

 

Online Maths Shop

Laptops In Lessons

Teacher, do your students have access to computers such as tablets, iPads or Laptops?  This page was really designed for projection on a whiteboard but if you really want the students to have access to it here is a concise URL for a version of this page without the comments:

Transum.org/go/?Start=May10

However it would be better to assign one of the student interactive activities below.

Laptops In Lessons

Here is the URL which will take them to a related student activity.

Transum.org/go/?to=Inequalities

Student Activity

Try Level 7

 


Transum.org is a proud supporter of the kidSAFE Seal Program