High School

What is the solution to this inequality?

X10

+7 > 10

A. X2 27

B. xs 83

C. xs 27

D. x2 83

What is the solution to this inequality X10 7 10 A X2 27 B xs 83 C xs 27 D x2 83

Answer :

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[tex] \frac{x}{9} + 7 \geqslant 10 \\ [/tex]

Subtract sides 7

[tex] \frac{x}{9} + 7 - 7 \geqslant 10 - 7 \\ [/tex]

[tex] \frac{x}{9} \geqslant 3 \\ [/tex]

Multiply sides by 9

[tex]9 \times \frac{x}{9} \geqslant 9 \times 3 \\ [/tex]

[tex]x \geqslant 27[/tex]

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Thus the correct answer is (( A )) .

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