Question

consider the inequality -5(x+7)<-10 write inequality representing a solution for x

Answer 1

perform indicated multiplication on left side first...

-5x-35<-10  add 35 to both sides

-5x<25  divide both sides by -5 (you must reverse sign because of division by a negative value too!)

x>5  or if you prefer...

x=(5, +oo)