Quadratic Inequalities
Gbogbo ọrọ náà
You can already solve a quadratic equation. A quadratic inequality asks a related but richer question: for which values of x is the expression positive, or negative? The answer is no longer a couple of points but a whole range of values, and finding that range turns out to be elegant once you see the structure.
In this lesson you will solve inequalities like \(x^2-x-6>0\) by first finding the roots, then deciding which regions satisfy the inequality using a quick sketch or a sign diagram. You will learn to express answers in the two standard shapes examiners expect: a single interval like \(-3
Ebumnobi
- Find the solution set for quadratic inequalities, either graphically or algebraically.
Akọmọ Ojú-ẹkọ
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.
Ayẹwo Ẹkọ
Ekele diri gi maka imecha ihe karịrị na Quadratic Inequalities. 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.
- What is the solution of x^2 - x - 6 > 0? A. -2 < x < 3 B. x < -2 or x > 3 C. -3 < x < 2 D. x < 2 or x > 3 Answer: B
- What is the solution of x^2 - x - 12 < 0? A. x < -3 or x > 4 B. -3 < x < 4 C. -4 < x < 3 D. x < 3 or x > 4 Answer: B
- The roots of a quadratic with a > 0 are -1 and 5. Where is the expression negative? A. x < -1 or x > 5 B. -1 < x < 5 C. x > 5 D. x < -1 Answer: B
- The roots of a quadratic with a > 0 are 2 and 6. Where is the expression positive? A. 2 < x < 6 B. x < 2 or x > 6 C. x < 6 D. x > 2 Answer: B
- Which of these is a valid way to write the solution of a quadratic inequality? A. -2 > x > 3 B. x < -2 or x > 3 C. 3 < x < -2 D. x = -2 or 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.
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.
Àwọn Ìwé Tó Dáa Láti Kà
Meecha Ajụjụ Ule Ọmarịcha
Ị chọrọ ime ajụjụ ule ọmarịcha gbasara Quadratic Inequalities? Budata ngwa Green Bridge CBT iji nweta ajụjụ ule ọmarịcha na nyocha zuru ezu gbasara isiokwu a.
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