E-Learning ModulePaid subscriptionIncludes a check

Master Inequalities & Number Lines

Prefer not to join? Buy just this resource

One-off price: £1.29

This resource is also included with eligible paid plans.

Buy this resource — £1.29

Create a free Learning Locker first; the exact resource and price are confirmed before payment.

Resource guide

Key stage

GCSE

Subject

Mathematics

Time

~16 min

Access

Paid subscription

Assessment

Included

This is a preview. Use the access options shown to check the plan or purchase needed.

About this resource and curriculum

Study guidance and sample questions

How to study with Master Inequalities & Number Lines

This parent guide links the page examples with a usable study routine. The listed resource is labelled Mathematics, GCSE, Year 10, Year 11, E-Learning Module. Use that framework, the learning summary and published prompts to agree what effective work should reveal.

Prepare a focused session

Read the title and learning focus side by side. Ask the learner to anticipate the knowledge, language or technique they may need. Scan each sample and recognise command words, quantities, signals, limits or less familiar terms. Agree a realistic time window, reduce diversions and prepare suitable materials such as paper, pencil, ruler, coloured pens, calculator, headphones or a device. Encourage an unaided opening attempt so the attempt reveals firm understanding and doubt. A short pause often aids recall better than an instant answer.

Make thinking published

Invite the learner to describe the task in their own words. They can underline key information, separate a complex problem into individual steps, create a model, organise support, practise a sentence or describe a planned method. Ask why their route fits and whether another plan could work. When progress stops, provide a staged hint: repeat the goal, point towards a useful example, narrow the choice, then model only the next step. Return responsibility immediately afterwards. Spoken reasoning exposes misconceptions and practises specific subject language.

Check accuracy and understanding

Compare the attempt with published answer guidance after honest effort. Inspect more than the final attempt: review the method, explanation, units, support, sequence, spelling or presentation where useful. Ask the learner to identify the opening point where their reasoning changed direction. Complete corrections actively in a different colour or fresh space, followed by a short description of the change. For a correct answer, request reasoning and one unaided check. This differentiates confident knowledge from guessing while strengthening accuracy, reflection and careful working habits.

Consolidate and extend

Finish with retrieval from memory. Cover the example and ask for the core idea, process or fact again. Create one small adaptation by changing a value, condition, example, viewpoint or level of support while keeping the learning focus. Invite the learner to write a related question and supply checking guidance. Record one success and one specific next step, perhaps reviewing terminology, practising a calculation, adding support or refining clarity. Recheck that target later in the week because spaced review gives better information than instant repetition.

The interactive player, downloadable file and record answer material retain their existing access controls. The guide aids preparation, discussion and review.

Sample questions and answers

Try five questions from this exact activity. Review each authored answer and explanation, then note which ideas need another look. Compare the options and explain why the answer fits. Say the reasoning aloud or write a short justification before opening the interactive player to complete the activity and save progress.

The symbol < means…
- Less than
- Greater than
- Less than or equal to
- Equal to
Sample answer: Less than
Explanation: < means "less than" (the value itself is not included).
The symbol ≥ means…
- Greater than or equal to
- Greater than only
- Less than or equal to
- Not equal to
Sample answer: Greater than or equal to
Explanation: ≥ means "greater than OR equal to" — the value is included.
"x > 5" means x is…
- Greater than 5, not including 5
- 5 or more
- Less than 5
- Exactly 5
Sample answer: Greater than 5, not including 5
Explanation: > is strict, so 5 itself is not a solution; only numbers bigger than 5.
"x ≤ 3" means x is…
- 3 or less (3 is included)
- Less than 3 only
- More than 3
- Exactly 3
Sample answer: 3 or less (3 is included)
Explanation: ≤ includes the value, so x can be 3 or anything smaller.
On a number line, an OPEN (hollow) circle is used for…
- < and > (the value is not included)
- ≤ and ≥
- Every inequality
- Equations
Sample answer: < and > (the value is not included)
Explanation: An open circle shows the end value is NOT part of the solution (strict < or >).

Cookie	Provider	Purpose	Duration
`lh_cookie_consent`	Learnaroo Hub	Remembers your cookie choices so we don’t ask again.	6 months
`lh_member_*`	Learnaroo Hub	Keeps you securely signed in to your dashboard.	Session / 14 days
`lh_secure_*`	Learnaroo Hub	Protects your authenticated session.	Session
`lh_ui_*`	Learnaroo Hub	Remembers your dashboard display preferences.	1 year
`lh_session`	Learnaroo Hub	Maintains your server session while you browse.	Session
`__stripe_mid / __stripe_sid`	Stripe	Fraud prevention when you subscribe or pay.	1 year / 30 minutes

Cookie	Provider	Purpose	Duration
`_ga`	Google Analytics	Tells anonymous visitors apart to count usage.	2 years
`_ga_*`	Google Analytics	Keeps analytics session state.	2 years
`_gid`	Google Analytics	Tells anonymous visitors apart (short term).	24 hours
`_gat`	Google Analytics	Limits how often analytics data is collected.	1 minute

🧭 Choose a key stage

Early Years (EYFS)

Key Stage 1

Key Stage 2

Key Stage 3

GCSE

🎯 By format

Not sure which fits?

Master Inequalities & Number Lines

Prefer not to join? Buy just this resource

Ready to make learning click?

🍪 We value your privacy

Report a resource problem

Prefer not to join? Buy just this resource

Related modules

More on this topic

Ready to make learning click?