Peter will apply to his favorite school . Requirement for admission to the school : 1. Indonesian languange score should not be less than 6 ,

2. Mathematics score should not be less than 5
3. Score of Indonesian languange + score of mathematics should not be less than 12.

Peter got score : 3 times of Indonesian languange + 4,5 times of mathematics . Then peter ...
a. Definitely rejected
b. Certainly accepted
c. Acceptable if the mathematical score more than 9
d. Acceptable if the Indonesian languange not less than 5
e. Acceptable if score of his mathematics is 6

Confusing..
Help me..

To determine whether Peter is accepted into his favorite school, we need to evaluate whether he meets the admission requirements. The requirements are as follows:

1. Indonesian language score should not be less than 6.
2. Mathematics score should not be less than 5.
3. The score of Indonesian language + the score of mathematics should not be less than 12.

Now, let's calculate Peter's score:

Peter's score = 3 times Indonesian language + 4.5 times mathematics.

To use this score in our evaluation, we need to convert it into the language of the requirements. Let's say Indonesian language = IL and mathematics = M.

Peter's score = 3IL + 4.5M.

Now, let's evaluate the options:

a. Definitely rejected: This option implies that no matter what Peter's scores are, he will be rejected. However, since the requirements give specific conditions, we cannot determine that Peter is definitely rejected based on this information alone.

b. Certainly accepted: This option implies that Peter will be accepted regardless of his scores. Again, without calculating his scores or checking them against the requirements, we cannot determine that Peter is certainly accepted.

c. Acceptable if the mathematical score is more than 9: According to the requirements, Peter's score in Indonesian language can be converted to a range of 6 - 18 (3IL). Therefore, we need to find the interval of mathematics scores (M) that fulfills the condition of Peter's score being more than 9 when multiplied by 4.5 (4.5M). By inspection, we can see that if M > 2, then Peter's score will be more than 9. Hence, the answer is:

c. Acceptable if the mathematical score is more than 9.

d. Acceptable if the Indonesian language is not less than 5: According to the requirements, Peter's score in Indonesian language should not be less than 6. Since Peter's score is a multiple of Indonesian language score, we need to find the interval of Indonesian language scores (IL) that fulfills the condition of Peter's score being not less than 5 (3IL). By inspection, we can see that if IL > 1, Peter's score will be more than 5. Hence, the answer is:

d. Acceptable if the Indonesian language is not less than 5.

e. Acceptable if the score of his mathematics is 6: According to the requirements, Peter's score in mathematics should not be less than 5. Since Peter's score is a multiple of mathematics score, we need to find the interval of mathematics scores (M) that fulfills the condition of Peter's score being not less than 6 (4.5M). By inspection, we can see that if M > 1, Peter's score will be more than 6. Hence, the answer is:

e. Acceptable if the score of his mathematics is 6.

In summary, based on the given information, Peter's application is acceptable if the mathematical score is more than 9, if the Indonesian language is not less than 5, or if the score of his mathematics is 6.