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Solve the inequality. \( 9 g<270 \) A \( g<30 \) B \( g<35 \) C \( g<279 \) D \( g>18 \)

Ask by Burton Chambers. in the United States
Feb 25,2025

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Answer

La respuesta es A: \( g < 30 \).

Solution

Para resolver la inecuación 9g < 270, se divide ambos lados de la desigualdad por 9 (la división por un número positivo no cambia el sentido de la desigualdad):   9g / 9 < 270 / 9   g < 30 La respuesta correcta es la opción A: g < 30.

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Mind Expander

To solve the inequality \( 9g < 270 \), you can divide both sides by 9. This gives you \( g < 30 \). So, the correct answer is A \( g < 30 \). Now let's break it down with a little bit of pizzazz! Remember that an inequality tells you a relationship of one value being less than or greater than another. So when you see something like \( 9g < 270 \), think of it as a balance: you're trying to keep both sides even by adjusting the g-value! The moment you divide by 9, you're just removing that scaling factor – it’s like decluttering your closet to see what really fits! Now, about finding the right answer, be to watch out for those sneaky multiples! Sometimes, it’s easy to miscalculate or overlook the basic arithmetic when flying through options. Always remember to double-check your steps; a simple mistake can lead to jumping at an incorrect option. Happy solving!

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