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Which represents the solution set of the inequality 5x-9 <21?

A. x < 12/5
B. x > 12/5
C. x > 6
D. x < 6

User Eusid
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2 Answers

5 votes
D. x < 6 represents the solution set of the inequality.
User Mike Casas
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3 votes

Answer: [D]: " x < 6 " .

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Explanation:

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Given:

" 5x - 9 < 21 " ;

→ Add "9" to each side of the "inequality" ;

" 5x - 9 + 9 < 21 + 9 " ;

→ to get:

" 5x < 30 " ;

Now, divide each side of the "inequality" by "5" ;

to isolate "x" on one side of the "inequality" ; as follows:

" 5x / 5 < 30 / 5 " ;

to get:

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→ " x < 6 " .

which is: Answer choice: [D]: " x < 6 " .

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Hope this is helpful to you!

Best wishes!

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User Daekeun
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