Question

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

Please help

Answer 1

Answer:

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.

$\frac{45}{-15} >x$

$-3>x\\x<-3$

Therefore, the answer is x < -3.