Question

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

Answer 1

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 ( $-3$)

$\frac{24}{-3}$ $>$ $\frac{-3h}{3}$ $\frac{-9}{3}$

Cancel: $\frac{-3h}{-3}$

Keep1: $\frac{24}{-3}$

Keep2: $\frac{-9}{-3 }$

$\frac{24}{-3}$ $= -8$

$\frac{-9}{-3}$ $= 3$

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

Good luck on your assignment and enjoy your day!

~$LoveYourselfFirst:)$

Answer 2

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