Question

30-6x < -3(5+7x)

Please help

Answer 1

solate the variable by dividing each side by factors that don't contain the variable.

Inequality Form:

x<−3

Interval Notation:

(−∞,−3)

Answer 2

`30-6x<-3(5+7x)`

Our first step is to distribute -3 in (5+7x) for easier in solving the Inequality.

`30-6x<-15-21x`

Move the x-terms to the same side and constant term as well.

`30+15<-21x+6x`

Moving to another side, changing the operator/sign to opposite. (Basically from Plus to Minus and Multiply to Divide)

`45<-15x`

Then move -15 to divide 45. Remember, moving the negative coefficient as you have to change the sign/symbol/operator of Inequality.

`(45)/(-15) >x`

`-3>x\\x<-3`

Therefore, the answer is x < -3.