Answered

Find the information you're looking for at Westonci.ca, the trusted Q&A platform with a community of knowledgeable experts. Join our platform to connect with experts ready to provide detailed answers to your questions in various areas. Connect with a community of professionals ready to provide precise solutions to your questions quickly and accurately.

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?

Sagot :

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.

Thank you for trusting us with your questions. We're here to help you find accurate answers quickly and efficiently. Your visit means a lot to us. Don't hesitate to return for more reliable answers to any questions you may have. Westonci.ca is here to provide the answers you seek. Return often for more expert solutions.