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24 greater than -3h greater than or equal to -9

2 Answers

5 votes


24 > -3h\geq-9\qquad|\text{change the signs}\\\\-24 < 3h\leq9\qquad|\text{divide both sides by 3}\\\\-8 < h\leq3

24 greater than -3h greater than or equal to -9-example-1
User Axelrod
by
8.3k points
0 votes

Hey there!


24
24

"Greater than" →
>


-3h
-3h

"Greater than or equal to"→
\geq


-9
-9

Now, that we highlighted our key terms , we could now solve our problem (or at least what we're working with)

Answer:
24 >
-3h
\geq -9 (this is what we get if we translated our equation)

But, if we're looking for the value of the "unknown number" (
h) , then let's work on it

So, first we have to divide all of your numbers by a negative 3 (
-3)


(24)/(-3)
>
(-3h)/(3)
(-9)/(3)

Cancel:
(-3h)/(-3)

Keep1:
(24)/(-3)

Keep2:
(-9)/(-3 )


(24)/(-3)
= -8


(-9)/(-3)
= 3

Therefore for that part of the answer should look like this:
-8 <
h
\leq
3

Good luck on your assignment and enjoy your day!

~
LoveYourselfFirst:)

User ThomasVdBerge
by
7.6k points