Question

Explain how solving -7y > 161 is different from solving 7y > -161.

All I have is:
Solving -7y > 161 is different from solving 7y > -161 because...

Answer 1

@jhonyy9

Answer 2

Major hint: it has something to do with the negative sign. There’s something you have to do to the inequality sign when you multiply or divide by a negative number.

Answer 3

do you know this about what @Vocaloid talk above ?

Answer 4

Yes

Answer 5

good so just use this rule if you know - that s all

Answer 6

but don't know how to put it in words

Answer 7

ok so in the first case

-7y > 161

how you calcule the y ?

Answer 8

divide both sides by -7 yes ? so this is about what above told @Vocaloid

Answer 9

yea, but I know what to type I just don't know how to put it in words

Answer 10

@AZ please can you explain here ? ty so much

Answer 11

What do you do to the sign when you divide by a negative number?

Answer 12

What happens to >

Does it stay the same or does it flip?

Answer 13

flip?

Answer 14

Yes

so that's all you have to write

dividing by a negative number changes the sign

so > becomes <
and < would become >
if you divide by a negative number

Answer 15

So is this good,
Solving -7y > 161 is different from solving 7y > -161 because dividing by a negative number changes the sign so > becomes < and < would become > if you divide by a negative number

Answer 16

That looks good

Answer 17

This is the Sample response: Both inequalities use the division property to isolate the variable, y. When you divide by a negative number, like –7, you must reverse the direction of the inequality sign. When you divide by a positive number, like 7, the inequality sign stays the same. The solution to the first inequality is y > -23, and the solution to the second inequality is y <>

Answer 18

The sample response explains the concept much more clearly

when you divide by a negative number, you have to reverse the direction of the inequality sign

for positive numbers, you don't do that