<prompt> Hlalosa kamano pakeng tsa ho kenya letsoho le tlhahiso ka lipalo tsa lipalo.Ho fanoe ka lihlopha tse peli tsa linomoro A 1, 2, 3, 4, 5 le B 2, 4, 6, 8.  <response>: Instruction in English: Explain the relation between input and output using mathematical equations. . Response in English: An equation is a mathematical statement that asserts the equality of two expressions. In other words, an equation establishes a relationship between an input and an output, where we plug in the values for the input and the result would be the output.For instance, using set A as the input, we can establish a relationship between the elements of set A and those of set B.Taking the numbers from Set A and multiplying each element with 2, we can obtain set B. This is shown by the following equation:y 2 x where x represents the elements of set A and y represents the elements of set B.When we plug in the values of set A into the equation, for example, x 1, we get:y 2 1 2 which is the first element of set B. Similarly, when we plug in the values of set A into the equation, for example, x 2, we get:y 2 2 4and so on. Hence, we can say that the above equation indicates a relation between set A and set B. In other words, the elements of set B are the output obtained when we plug the values of set A into the given equation. . Response in Sesotho: Equation ke polelo ea lipalo e tiisang ho lekana ha lipolelo tse peli. Ka mantsoe a mang, equation e theha kamano pakeng tsa tlhahiso le tlhahiso, moo re kenyang litekanyetso bakeng sa ho kenya letsoho me sephetho e tla ba se hlahisoang. Ka mohlala, ka ho sebelisa set A e le ho kenya letsoho, re ka theha kamano pakeng tsa likarolo tsa set A le tsa sete B. Ho nka linomoro ho tloha ho Setha A le ho atisa ntho e ngoe le e ngoe ka 2, re ka fumana sete B. Sena se bontšoa ke equation e latelang: y 2 x moo x e emelang likarolo tsa sete A le y e emela likarolo tsa sete B. Ha re kopanya boleng ba set A ho equation, mohlala, x 1, re fumana: y 2 1 2 e leng karolo ea pele ea sete B. Ka mokhoa o tsoanang, ha re kenya litekanyetso tsa set A ho equation, mohlala, x 2, re fumana: y 2 2 4 joalo-joalo. . Kahoo, re ka re equation e ka holimo e bontša kamano pakeng tsa set A le sete B. Ka mantsoe a mang, likarolo tsa sete B ke tlhahiso e fumanoang ha re kenya litekanyetso tsa sete A ho equation e fanoeng. 