Nakyenkanyampuyi ne Nakyekubira

Okusinziira ku Charles Muwanga :

(i) Nakyenkanyampuyi= Namba ezenkanyempuyi(Equation)

(ii)Nakyekubira=Namba ezekubidde olubege(Inequalities).Kino kitegeeza nti tezenkanankana

Ekyokulabirako:

(a) 5 x 3 yenkana  15 .  Omweyoleko guno guyitibwa "nakyenkanyampuyi" kubanga 15 yenkana 15

(b) 5 x 3 teyenkana 12 .Omweyoleko guno guyitibwa "nakyekubira" kubanga 15 teyenkana 12

Nakyenkanyanjuyi & Nakyekubira
(Equations & Inequalities)

The etymological meaning of nakyenkanyampuyi, Luganda for equations or equation is in three little Luganda words “ennamba” (numbers), “okwenkanya” (to make equal), and “empuyi” (sides) which form the phrase “nemba ez’enkanya enjuyi” (numbers that make two sides equal). Using the technique of blending, we get the concept of “nakyenkanyampuyi” which is the Luganda word for equations or equation. The other technical (required) terms under this topic are:

•	Nakyekubira		Inequality or inequalities

•	Musikiza		substitution

•	Okusikiza             	to substitute a variable (enkuumakifo) with a number

•	Okusikiza namba  	to substitute a variable with a number
•	Akenkanyanjuyi	the equals symbol (=)

Nakyenkanya njuyi (equations) can be in the forms 5+4 = 9 or ½ + ½ = 1, or x+15 =25   or 

x	+	5	=	11

Nakyekubira (inequalities)

Mathematics is not concerned with solving (okubaza) nakyenkanyanjuyi (equations) only. It also deals with variables that are not equal. 

“Nakyekubira” is the Luganda mathematical concepts for inequalities.  It is formed by a blend of two Luganda words “namba (numbers) and “okwekubira” (being lopsided) which makes a phrase “namba za kyekubira” (lopsided numbers). This is written in short form as “nakyekubira”, which is the concept for mathematical inequalities in Luganda.

Example: Alintuma ne Bugeza bombi basajja banene yadde nga tetumanyi buzito bwawe kyokka tumanyi nti alintuma mutono okusinga Bugeza.  Mu sessomo ly’ekibalangulo, kino tuyinza okukiraga nga tuwndiika bwe tuti:
Bugeza > Alintuma

Oba	         

 b > a (Wano "b" etegeeza Bugeza, ">"kategeeza “asinga ku", ne "a” etegeeza Alintuma) Such lopsided mathematical problems are called Nakyekubira (inequalities) because they are concerned with   puzzles (obukunizo) of inequality.  These below are the necessary symbols for expressing nakyenkanyanjuyi (equations) and “nakyekubira” (inequalities):

Akabonero ka kyekubira	Ebigambo ebikannyonnyola	Eky’okulabirako

>	Kisingako   (greater than)	5 >2

<	Kitonoko     (less than)	7 < 9

From now on, a Luganda speaker will also be able to express inequalities that are loaded with lack of clarity expressed in the phrase “oba kyenkana”.   This lack of clarity in inequality can be expressed using the symbols below:

 Akabonero	Ebigambo	Eky’okulabirako

≥	Kineneko oba kyenkana 	x ≥ 1 

≤	Kitonoko oba kyenkana 	y ≤ 3
Ekyokulabirako: Fujjo azannyira mu bato abali wansi w’emyaka 20. Fujjo alina emyaka emeka?  Tetumanyidde ddala myaka gya Fujjo kubanga tetutegezeddwa nti waliwo okwenkana. Kyokka tumanyidde ddala nti Fujjo ali wansi wa myaka 20, ekintu kye tusobola okuwandiika nga:

Emyaka gya Fujjo < 20

Akafumito kasonze ku myaka gya fujjo kubanga giri wansi wa 20.
Another example: Olina kuba wa myaka 18 oba okusingawo okunywa omwenge. Laga okwekubira nga okozesa obubonero.

Okwekubira oba kyekubira kiba wakati wa myaka gyo n’emyaka 18 kubanga emyaka gyo girina okuba nga gisingako oba nga gyenkana 18. Kino kiba kiwandiikibwa nga: 

Emyaka egyetaagisa okunywa omwenge   ≥ 18