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Abby solves the inequality -2(8 - x) > 12 and gets x > -14. Burt solves the same inequality and gets x < -14. Cara solves the same inequality and gets x > 14. Derek solves the same inequality and gets x < 14. Finally, Frances solves the same inequality and gets x < -7. Who solved the inequality correctly?



Answer :

Answer:

Cara.

Step-by-step explanation:

First, we expand the left side of the inequality:

[tex]-2(8-x) > 12[/tex]

[tex](-2)*8+(-2)*(-x) > 12[/tex] by the distributive property of multiplication.

[tex]-16+2x > 12[/tex]

Next, we isolate [tex]x[/tex]:

[tex]-16+2x+16 > 12+16[/tex]

[tex]2x > 28[/tex]

[tex]x > 14[/tex]

Thus, Cara solved the inequality correctly.

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