HeccinYeetidn
Answered

Find expert answers and community support for all your questions on IDNLearn.com. Our community is here to provide the comprehensive and accurate answers you need to make informed decisions.

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]

Thank you for contributing to our discussion. Don't forget to check back for new answers. Keep asking, answering, and sharing useful information. IDNLearn.com provides the answers you need. Thank you for visiting, and see you next time for more valuable insights.