Question

$-5(x+3)>x+7+6x$ Which of the following best describe the solutions to the inequality shown above?

• A. $x<-\frac{11}{6}$
• B. $x>-\frac{5}{4}$
• C. $x<\frac{1}{3}$
• D. $x>4$

Answer 1

The correct option is A $x<-\frac{11}{6}$

Distribute the -5 and combine like terms $-5x-15>7x+7$
Subtract 7x and add 15 to both sides
$-5x-15-7x>7x+7-7x$
$-12x-15>7$
$-12x-15+15>7+15$
$-12x>22$
$x<-\frac{22}{12}$
Reduce the fraction & you’re done ! The following best describes the solution to the inequality x.