Mathematics - International - 0607 CIE

Inequalities

Bayani Gaba-gaba

An inequality says that one quantity is less than, or greater than, another, rather than exactly equal. Speed limits, minimum ages, budget ceilings and safe ranges are all inequalities, and they describe the world far more often than tidy equalities do.

In this lesson you will represent inequalities on a number line, then at Extended level construct and solve linear inequalities, solve them with a graphic display calculator, and picture linear inequalities in two variables as regions on a graph. You will also learn to read off the inequalities that define a shaded region.

Manufura

  1. Represent and interpret inequalities, including on a number line.
  2. Construct, solve and interpret linear inequalities. (Extended only)
  3. Solve inequalities using a graphic display calculator. (Extended only)
  4. Represent and interpret linear inequalities in two variables graphically. (Extended only)
  5. List inequalities that define a given region. (Extended only)

Takardar Darasi

Real limits are rarely a single number; they are ranges. You must be at least a certain height for a ride, spend no more than a budget, keep a temperature within safe bounds. Inequalities are how mathematics captures these everyday constraints, and the same ideas underpin optimisation, the art of getting the best result within limits.

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Nazarin Darasi

Barka da kammala darasi akan Inequalities. Yanzu da kuka bincika mahimman raayoyi da raayoyi, 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 - 4 < 11. A. x < 5 B. x > 5 C. x < 7 D. x > 7 Answer: A
  2. Solve -2x >= 6. A. x >= 3 B. x <= 3 C. x >= -3 D. x <= -3 Answer: D
  3. On a number line, which circle marks a value that is included, as in x >= 2? A. an open circle B. a filled circle C. an arrow only D. a dashed circle Answer: B
  4. When drawing the region for y < 2x + 1, the boundary line should be: A. solid B. dashed C. dotted and shaded D. omitted Answer: B
  5. Is the origin (0, 0) in the region y < 2x + 1? A. Yes B. No C. Only on the line D. Cannot tell Answer: A

Akwai a cikin manhajar Green Bridge

Zazzage manhajar Green Bridge CBT a wayar ka ko kwamfyuta ka don samun cikakkiyar bayanan darasi, tambayoyin aiki, da ƙari.

Cikakkiyar bayanan darasi tare da zane-zane
Mataimakiyar koyo da AI
Yi karatu ba tare da intanet ba, a kowane lokaci, a ko'ina
Akwai a Android, Windows, macOS, da Linux

Akwai a cikin manhajar Green Bridge

Zazzage manhajar Green Bridge CBT a wayar ka ko kwamfyuta ka don samun cikakkiyar bayanan darasi, tambayoyin aiki, da ƙari.

Cikakkiyar bayanan darasi tare da zane-zane
Mataimakiyar koyo da AI
Yi karatu ba tare da intanet ba, a kowane lokaci, a ko'ina
Akwai a Android, Windows, macOS, da Linux

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