Mathematics Specification A - 4MA1 PearsonEdexcel

Inequalities

Bayani Gaba-gaba

Inequalities describe relationships where one quantity is greater than, less than, or not equal to another. Unlike equations, which pin down a single value, an inequality defines a whole range of values that satisfy a condition. From budgeting constraints to engineering tolerances, inequalities model any situation where limits apply rather than exact targets.

This lesson covers the four inequality symbols, how to represent solution sets on a number line using open and closed circles, and how to solve linear inequalities. You will also learn to shade regions on a Cartesian graph defined by linear inequalities. Higher tier extends into quadratic inequalities and harder region problems.

Manufura

  1. Understand and use the inequality symbols
  2. Understand and use the convention for open and closed intervals on a number line
  3. Solve simple linear inequalities in one variable and represent the solution set on a number line
  4. Represent simple linear inequalities on rectangular Cartesian graphs
  5. Identify regions on rectangular Cartesian graphs defined by simple linear inequalities
  6. [Higher] Solve quadratic inequalities in one unknown and represent the solution set on a number line
  7. [Higher] Identify harder examples of regions defined by linear inequalities

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Takardar Darasi

A theme park sign reads 'You must be at least 140 cm tall to ride'. Translated into algebra this becomes \(h \geq 140\), an inequality. Unlike an equation, which has one answer, this statement is true for every height from 140 cm upwards. Inequalities crop up whenever a rule sets a boundary rather than an exact value.

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Nazarin Darasi

Barka da kammala darasi akan Inequalities. Yanzu da kuka bincika mahimman ra'ayoyi da ra'ayoyi, lokaci yayi da zaku gwada ilimin ku. Wannan sashe yana ba da ayyuka iri-iri Tambayoyin da aka tsara don ƙarfafa fahimtar ku da kuma taimaka muku auna fahimtar ku game da kayan.

Za ka gamu da haɗe-haɗen nau'ikan tambayoyi, ciki har da tambayoyin zaɓi da yawa, tambayoyin gajeren amsa, da tambayoyin rubutu. Kowace tambaya an ƙirƙira ta da kyau don auna fannoni daban-daban na iliminka da ƙwarewar tunani mai zurfi.

Yi wannan ɓangaren na kimantawa a matsayin wata dama don ƙarfafa fahimtarka kan batun kuma don gano duk wani yanki da kake buƙatar ƙarin karatu. Kada ka yanke ƙauna da duk wani ƙalubale da ka fuskanta; maimakon haka, ka kallesu a matsayin damar haɓaka da ingantawa.

  1. Solve 3x + 2 > 14. A) x > 4 B) x > 6 C) x > 3 D) x < 4 Answer: A
  2. Which number line correctly shows x <= 3? A) Open circle at 3, arrow right B) Filled circle at 3, arrow left C) Open circle at 3, arrow left D) Filled circle at 3, arrow right Answer: B
  3. Solve -2x > 6. A) x > -3 B) x < -3 C) x > 3 D) x < 3 Answer: B
  4. Which integers satisfy -1 < x <= 3? A) -1, 0, 1, 2, 3 B) 0, 1, 2, 3 C) 0, 1, 2 D) -1, 0, 1, 2 Answer: B
  5. On a graph, the region below the line y = 2x + 1 (not including the line) is described by: A) y >= 2x + 1 B) y <= 2x + 1 C) y > 2x + 1 D) y < 2x + 1 Answer: D

Yi aikin wadannan tambayoyi a cikin manhaja

Yi aikin wadannan tambayoyi a cikin manhaja

Littattafan da ake ba da shawarar karantawa

Pearson Edexcel International GCSE (9-1) Mathematics A Student Book 1
Pearson Edexcel International GCSE (9-1) Mathematics A Student Book 1
Sunaƙa: First edition
Mai wallafa: Pearson Education
Shekara: 2017
ISBN: 978-0-435-18144-8
Bayanan bayanin.: Endorsed student book covering the full 4MA1 specification.
Pearson Edexcel International GCSE (9-1) Mathematics A Student Book 2
Pearson Edexcel International GCSE (9-1) Mathematics A Student Book 2
Sunaƙa: First edition
Mai wallafa: Pearson Education
Shekara: 2017
ISBN: 978-0-435-18314-5
Bayanan bayanin.: Continuation covering Higher tier content.

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