Question

How do you solve `2x-3(1-2x)<31`?

Answer 1

`x<17/4`

Explanation:

`"distribute and simplify left side of inequality"`

`2x-3+6x<31`

`rArr8x-3<31`

`"add 3 to both sides"`

`rArr8x<34`

`"divide both sides by 8"`

`rArrx<34/8rArrx<17/4" is the solution"`

`x in(-oo,7/4)larrcolor(blue)"in interval notation"`