HeccinYeet
Answered

Discover the best answers at Westonci.ca, where experts share their insights and knowledge with you. Discover detailed answers to your questions from a wide network of experts on our comprehensive Q&A platform. Experience the ease of finding precise answers to your questions from a knowledgeable community of experts.

HELP QUICK PLEASE. MANY POINTS.


The table shows the steps for solving the given inequality for x.


7x+16<−5(4−5x)


Select the reason for each step from the drop-down menus.


​7x+16<−5(4−5x)​ Given

​7x+16<−20+25x​ Distributive Property

​16<−20+18x ___

​36<18x ___

​2 < x ___

Sagot :

  1. Side changing.
  2. Simplifing
  3. Final answer

Lets solve

[tex]\\ \rm\hookrightarrow 7x+16<-5(4-5x)[/tex]

[tex]\\ \rm\hookrightarrow 7x+16<-20+25x[/tex]

[tex]\\ \rm\hookrightarrow 16<-20+18x[/tex]

[tex]\\ \rm\hookrightarrow 18x>36[/tex]

[tex]\\ \rm\hookrightarrow x>2[/tex]

[tex] \sf \to7x + 16 < - 5(4 - 5x) \\ \tt \: [given][/tex]

[tex] \sf \to7x + 16 < - 20 + 25x \\ \tt \: [distributive \: property][/tex]

[tex] \sf \to16 < - 20 + 18x \\ \tt \: [change \: the \: signs][/tex]

[tex] \sf \to 36< 18x\\ \tt \: [collect \: like \: terms][/tex]

[tex] \sf \to 2< x\\ \tt \: [final \: answer][/tex]

Thanks for using our platform. We aim to provide accurate and up-to-date answers to all your queries. Come back soon. We hope our answers were useful. Return anytime for more information and answers to any other questions you have. Westonci.ca is here to provide the answers you seek. Return often for more expert solutions.