Mathematics (US) - 0444 CIE

Inequalities On The Real Number Line

Bayani Gaba-gaba

An equation pins a value down exactly; an inequality describes a whole range of allowed values instead. From speed limits to budgets, much of the real world is governed by 'at least' and 'no more than' rather than exact equality, and inequalities are the mathematics of those limits.

In this lesson you will represent and interpret inequalities on the real number line, and solve linear inequalities. You will see that solving an inequality is almost the same as solving an equation, with one crucial twist when you multiply or divide by a negative number.

Manufura

  1. Represent and interpret inequalities on the real number line, and (Extended) solve linear inequalities.

Takardar Darasi

Many real conditions are ranges, not single values: a wage must be at least a minimum, a load must not exceed a limit, a temperature must stay within a band. Inequalities express these limits precisely, and the number line gives an instant picture of all the values that satisfy them.

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Nazarin Darasi

Barka da kammala darasi akan Inequalities On The Real Number Line. 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 < 19. A. x < 5 B. x > 5 C. x < 7 D. x > 7 Answer: A
  2. Solve -2x >= 8. A. x >= -4 B. x <= -4 C. x >= 4 D. x <= 4 Answer: B
  3. On a number line, x > 3 is shown with: A. A filled circle at 3, arrow left B. An open circle at 3, arrow right C. A filled circle at 3, arrow right D. An open circle at 3, arrow left Answer: B
  4. When do you reverse the inequality sign? A. When adding a negative B. When dividing by a positive C. When multiplying or dividing by a negative D. Never Answer: C
  5. Solve 2x - 1 <= 5. A. x <= 2 B. x <= 3 C. x >= 3 D. x < 3 Answer: B

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Cikakkiyar bayanan darasi tare da zane-zane
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Akwai a Android, Windows, macOS, da Linux

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