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Mathematics 12 Online
OpenStudy (anonymous):

Can anyone help me? I have no clue what it is.

OpenStudy (anonymous):

Eric reported that Joan won her first match in the chess tournament, but she won fewer than 8 matches altogether. Eric wrote the inequality m < 8 to represent the possible number of matches Joan won. Which numbers satisfy the inequality but make no sense in this situation? Choose all answers that are correct. –1 –7 4 0

OpenStudy (anonymous):

@paki

OpenStudy (anonymous):

@EclipsedStar

OpenStudy (anonymous):

@radar

OpenStudy (anonymous):

@jagr2713 @ybarrap

OpenStudy (anonymous):

Typically i would have some clue and would be able to make an assumption but i don't know what to do.

OpenStudy (mathstudent55):

Since she won her first match in the tournament, how many matches do you know for sure she won?

OpenStudy (anonymous):

none, since she just won her first

OpenStudy (mathstudent55):

Isn't the first one, one match anyway. She for sure won 1 match.

OpenStudy (anonymous):

it says -1

OpenStudy (mathstudent55):

You need to read the problem, not the choices.

OpenStudy (anonymous):

the third choice can be an option

OpenStudy (mathstudent55):

After you understand the problem and you know what the answer is, then you check the choices and pick out the ones that make sense.

OpenStudy (mathstudent55):

Correct.

OpenStudy (anonymous):

i have to choose all that apply

OpenStudy (mathstudent55):

She won for sure 1. Overall, she won less than 8. That means she may have won 1, 2, 3, 4, 5, 6, or 7, since all those numbers are less than 8.

OpenStudy (anonymous):

it says in the question which numbers satisfy the inequality but make no sense in this situation?

OpenStudy (anonymous):

that's what got me clueless

OpenStudy (mathstudent55):

That means all numbers that can answer this problem are 1, 2, 3, 4, 5, 6, and 7. All those are possible answers. 0 is not a possible answer because we know she won the first one. She definitely won 1.

OpenStudy (mathstudent55):

The inequality is m < 8, right? What values of m will make the inequality true?

OpenStudy (anonymous):

so it's just 4 because the other answer choices are negative

OpenStudy (mathstudent55):

Any number that is lees than 8 makes the inequality true, correct?

OpenStudy (anonymous):

yea

OpenStudy (anonymous):

so it's only 4

OpenStudy (mathstudent55):

Right. -7 makes the inequality true, but it makes no sense to say she won -7 matches. The same goes for -1. -1 makes the inequality true, but makes no sense.

OpenStudy (mathstudent55):

0 makes the inequality true, but in this case the reason it can't be used is not that it makes no sense like -1 or -7. It is possible for a person to win no matches. In this case we know she won 1 for sure, so 0 is simply not true, so even though 0 satisfies the inequality, it is not true in this situation.

OpenStudy (anonymous):

but then the answers would be -1, -7, and 0 because it says which numbers satisfy the inequality but make NO SENSE in this situation.

OpenStudy (mathstudent55):

You are correct, the only correct answer is 4.

OpenStudy (mathstudent55):

No. 0, -1, -7 all satisfy the inequality. They don't make sense in this situation for 2 different reasons. For -1 and -7, winning a negative number of matches makes no sense. It never makes sense. For 0, we know that makes no sense in this specific situation because we know she won 1 match. Had we not been told that she definitely won 1 match, 0 could have been an answer.

OpenStudy (anonymous):

i just put i the results and it says it was - 1, -7, and 0 i think it was because it was asking for choices that made the inequality true, but made no sense. 4 supported the inequality, and made sense, the question asked for choices that supported it, but made no sense in the situation

OpenStudy (phi):

yes, it was asking for the "goofy" numbers, which are -1, -7 and 0

OpenStudy (anonymous):

i still thank @mathstudent55 for taking the time in my question though

OpenStudy (mathstudent55):

@itsthatguy You are absolutely correct. The question was which numbers are not good, not which numbers are good. By the time I got to the end of the problem, I forgot what the question was! :-)

OpenStudy (anonymous):

It's ok, i still thank you, because even though you weren't going for the other answers, you actually helped me, mentioning which choices didn't make sense, and so that helped me

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