Mathematics (US) - 0444 CIE

Inequalities On The Real Number Line

Gbogbo ọrọ náà

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.

Ebumnobi

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

Akọmọ Ojú-ẹkọ

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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Ayẹwo Ẹkọ

Ekele diri gi maka imecha ihe karịrị na Inequalities On The Real Number Line. Ugbu a na ị na-enyochakwa isi echiche na echiche ndị dị mkpa, ọ bụ oge iji nwalee ihe ị ma. Ngwa a na-enye ụdị ajụjụ ọmụmụ dị iche iche emebere iji kwado nghọta gị wee nyere gị aka ịmata otú ị ghọtara ihe ndị a kụziri.

Ị ga-ahụ ngwakọta nke ụdị ajụjụ dị iche iche, gụnyere ajụjụ chọrọ ịhọrọ otu n’ime ọtụtụ azịza, ajụjụ chọrọ mkpirisi azịza, na ajụjụ ede ede. A na-arụpụta ajụjụ ọ bụla nke ọma iji nwalee akụkụ dị iche iche nke ihe ọmụma gị na nkà nke ịtụgharị uche.

Jiri akụkụ a nke nyocha ka ohere iji kụziere ihe ị matara banyere isiokwu ahụ ma chọpụta ebe ọ bụla ị nwere ike ịchọ ọmụmụ ihe ọzọ. Ekwela ka nsogbu ọ bụla ị na-eche ihu mee ka ị daa mba; kama, lee ha anya dị ka ohere maka ịzụlite onwe gị na imeziwanye.

  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

Ọ dị na ngwa Green Bridge

Budata ngwa Green Bridge CBT na ekwentị maọbụ kọmputa gị iji nweta akwụkwọ ndụmọdụ zuru oke, ajụjụ mmụta, na ndị ọzọ.

Akwụkwọ ndụmọdụ zuru oke nwere eserese
Onye inyeaka mmụta AI
Mụọ n'ụzọ na-enweghị ịntaneti, oge ọbụla, ebe ọbụla
Ọ dị na Android, Windows, macOS, na Linux

Ọ dị na ngwa Green Bridge

Budata ngwa Green Bridge CBT na ekwentị maọbụ kọmputa gị iji nweta akwụkwọ ndụmọdụ zuru oke, ajụjụ mmụta, na ndị ọzọ.

Akwụkwọ ndụmọdụ zuru oke nwere eserese
Onye inyeaka mmụta AI
Mụọ n'ụzọ na-enweghị ịntaneti, oge ọbụla, ebe ọbụla
Ọ dị na Android, Windows, macOS, na Linux

Meecha Ajụjụ Ule Ọmarịcha

Ị chọrọ ime ajụjụ ule ọmarịcha gbasara Inequalities On The Real Number Line? Budata ngwa Green Bridge CBT iji nweta ajụjụ ule ọmarịcha na nyocha zuru ezu gbasara isiokwu a.

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