Question

Question #6547c

Answer 1

`x<-7`

Explanation:

simplify the left side by distributing and collecting like terms.

`3x-18-7x>10`

`rArr-4x-18>10`

add 18 to both sides.

`-4xcancel(-18)cancel(+18)>10+18`

`rArr-4x>28`

To solve for x, divide both sides by - 4

`color(blue)"NOTE"` when dividing/multiplying an inequality by a negative quantity we must `color(blue)" reverse the symbol"`

`(cancel(-4) x)/cancel(-4)<(28)/(-4)larrcolor(red)" reverse symbol"`

`rArrx<-7" is the solution"`