Question

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 ___

Answer 1

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

Lets solve

`\\ \rm\hookrightarrow 7x+16<-5(4-5x)`

`\\ \rm\hookrightarrow 7x+16<-20+25x`

`\\ \rm\hookrightarrow 16<-20+18x`

`\\ \rm\hookrightarrow 18x>36`

`\\ \rm\hookrightarrow x>2`

Answer 2

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

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

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

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

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