Question

answer all questions 2a 2b 2c and 2d completely

Activity 1: 1. Here is Neelý's solution of the rational nequaty3. Read it carefully. 4-N Project 1 119 MTHH 040 4-N T N<3(4-N) N<12-3N 4N < 12 N<3 Neely concluded that the solution consists of all integers less than 3. Or so it would seem. Does Neely's solution appear to be correct? (1 pt) No Neeleys solutions doesnt seem to be correct 2. Choose an integer less than 3. Does it make the inequality true? (1 pt) a. b. Pick an integer greaerthan 4. Does it make the inequality true? (1 pt) What happens to the inequality when N-3?N-4? (2 pts) c. d. Make a conjecture about the solution based on your results in parts (aH(c). (2 pts)

Answer 1

Given that N<3 .................. (1)

2(a) choose any number less than 3, let it be 2.... now Put N=2 in inequality (1) .

So 2<3

hence It is TRUE because 2 is less than 3.

2(b) Choose any number greater than 4. so let it be 5, so put N=5 in inequality (1)

hence 5<3

which is not TRUE. because 5 is more than 3, not less than 3.

2(c) Now Put N=3

so 3<3 which is Not TRUE again... inequality (1) does not hold when N=3

now Put N=4, so 4 <3, Which is Not TRUE,

2(d) Conjecture, "N" Should be less than 3 than only inequality holds TRUE else Inequality(1) will Not Hold TRUE.