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Umnica [9.8K]
4 years ago
10

Which graph represents the solution set of the compound inequality? - 5 < a - 4 < 2

Mathematics
1 answer:
grandymaker [24]4 years ago
3 0

-5 < a - 4 < 2        |+4

-1 < a < 6

Answer: First graph

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X/9+3&lt;4 what is the solution to the ineqaulity
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Hi student, let me help you out! :)

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We are asked to find the solution to the inequality:

\star~\large\pmb{\cfrac{x}{9}+3 < 4}

\triangle~\fbox{\bf{KEY:}}

  • First, subtract 3 from both sides,  then multiply both sides by the denominator.

<u>Step 1.</u>

<u></u>

<u></u>\star~\large\pmb{\cfrac{x}{9} < 4-3}

\star~\large\pmb{\cfrac{x}{9} < 1}

<u>Step 2.</u>

<u></u>

<u></u>\star~\large\pmb{\cfrac{x}{9}\times9 < 1\times9}

Notice that on the left, the 9s cancel, and we're left with x.

<u>Step 3.</u>

<u></u>

<u></u>\star~\large\pmb{x < 9}

This is the solution.

Hope it helps you out! :D

Ask in comments if any queries arise.

#StudyWithBrainly

~Just a smiley person helping fellow students :)

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