Question

Describe where the following solution goes wrong.

three times the quantity five minus a end quantity minus seven is less than fifteen

Line 1: three times five minus three times a minus seven is less than fifteen
Line 2: fifteen minus three a minus seven is less than fifteen
Line 3: fifteen minus seven minus three a is less than fifteen
Line 4: eight minus three a is less than fifteen
Line 5: eight minus three a minus eight is less than fifteen
Line 6: negative three a is less than fifteen
Line 7: negative three a divided by negative three is greater than fifteen divided by negative

Answer 1

Line 8: a is greater than negative five

Answer 2

Line 1: three times five minus three times a minus seven is less than fifteen Line 2: fifteen minus three a minus seven is less than fifteen Line 3: fifteen minus seven minus three a is less than fifteen Line 4: eight minus three a is less than fifteen Line 5: eight minus three a minus eight is less than fifteen Line 6: negative three a is less than fifteen Line 7: negative three a divided by negative three is greater than fifteen divided by negative
1. 3*5-3a-7<15 [assumed correct
2. 15-3a-7<15 (evaluation of product)
3. 15-7-3a < 15 (commutativity)
4. 8-3a<15 (evaluation of subtration)
5. 8-3a-8 < 15 (where does the -8 one the left come from?)
6. -3a < 15 (carries error from 5)
7. -3a/(-3) > 15/(-3) (carries error from 5)

Can you correct line 5 and continue?

Answer 3

thats how it is in the problem

Answer 4

The problem asks you to find the error. Now that the error is found, you need to continue and solve the problem correctly, am I right?

Answer 5

no i just need to describe the problem

Answer 6

I have done the part of translating words to algebraic inequalities. Woud you be able to find the error and describe it to your teacher?

Answer 7

the error is in line 5 right

Answer 8

Yes. You need also to describe what went wrong on that line.

Answer 9

k i got it thanks so much

Answer 10

You're welcome! :)