Graph Solutions To Linear Inequalities In Two Variables
Gbogbo ọrọ náà
A linear inequality in two variables does not have a single solution: it has a whole region of points that satisfy it. Shading that region turns the inequality into a picture, which is exactly how solutions are shown and combined.
In this lesson you will graph the solution to a linear inequality in two variables as a half-plane (region), and decide whether the boundary line is included.
Ebumnobi
- Graph the solution to a linear inequality in two variables as a half-plane (region), distinguishing whether the boundary is included.
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Nnyocha Ọmụmụ
Ekele diri gi maka imecha ihe karịrị na Graph Solutions To Linear Inequalities In Two Variables. 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.
- The solution of a linear inequality in two variables is: A. one point B. a line C. a half-plane (region) D. a curve Answer: C
- For a strict inequality (>), the boundary line is drawn: A. solid B. dashed C. doubled D. not at all Answer: B
- For y <= x + 1, the boundary line is drawn: A. dashed B. solid C. wavy D. red Answer: B
- To decide which side to shade you use a: A. ruler B. test point C. protractor D. tangent Answer: B
- Testing (0, 0) in y > x + 1 gives 0 > 1, which is false, so you shade: A. the side containing the origin B. the side not containing the origin C. both sides D. neither side Answer: B
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Akụkụ akwụkwọ
Graphs of Linear Inequalities
Verify solutions to an inequality in two variables
"Elementary Algebra: Graphs of Linear Inequalities" by OpenStax, OpenStax, Rice University, licensed under CC BY 4.0 (https://creativecommons.org/licenses/by/4.0/). Source: https://openstax.org/books/elementary-algebra/pages/4-7-graphs-of-linear-inequalities. Access for free at https://openstax.org/books/elementary-algebra/pages/1-introduction
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