Question

18. Solve the inequality. Show your work.
–6b > 42 or 4b > –4

Answer 1

for the first one, divide both sides by -6
since you're dividing by a negative, you'll have to flip the sign

Answer 2

for the second divide both sides by 4, no sign flipping needed

Answer 3

Wait, do I divide 42 by -6?

Answer 4

you divide both sides, because you can't modify one side without doing the same thing to the other side

for example if we had x+2>5
we'd subtract 2 from both sides and get
\(x+2-2>5-2\\x\cancel{+2-2}>5-2\\x>3\)

Answer 5

Oooh, so I'd divide -6 with 4b as well?

Answer 6

Like this?
\[42 \div -6 = -6 \div 4 ?\]

Answer 7

nah they're like 2 separate things,
first we're solving \( –6b > 42\) for b

then after we finish that, we'll solve \(4b > –4\) for b

Answer 8

So b for the first one is -7
and b for the second one is -1?

Answer 9

these are inequalities, so b can be a lot of things. for example if we had x>2, x can be 3,55,1580157, or 2570123569723072893

so for the first one we have \(\dfrac{–6b}{-6} > \dfrac{42}{-6}\\b<-7\)

and the 2nd one, we have \(4b > –4\\\dfrac{4b}{4} > \dfrac{-4}{4}\\b>-1\)

Answer 10

Ok so, would is be:
-6b > 42 or 4b > -4
-6 \[42 \div -6 = -7\]
\[b = -7\]

\[4 \div -4 = -1\]
\[b = -1\]

Answer 11

Thank you so much! You're a great help c:

Answer 12

you're very welcome c:

please post more because I'm honestly not sure you fully understand the concept. you're converting inequalities to equalities

Answer 13

I'm not supposed to do = I'm supposed to do < or >, correct?

Answer 14

yeah, and you keep it the same unless you're dividing by a negative, in which case you flip it

you'll probably find better help on youtube as far as learning what to do, when to do, and why to do it

Answer 15

Ok, thanks so much again! c:

Answer 16

you can tag me in the future using " @bibby "
no quotes

Answer 17

Okay (: