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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 ___

Respuesta :

  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]

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