Solve the inequality \(2x - 5 \le -x +12 \) Give your answer as an interval.
Solve the inequality \(-4(x + 4) > x + 7\) Give your answer as an interval.
have fun!
It's just two, not a big deal in my opinion. Any more than that would be an overload.
1.
\(2x-5\le-x+12\\ =3x\le17\\ =x\ge\frac{17}{3}\\ \boxed{x\in(-\infty, \frac{17}{3}]} \)
2. \(-4(x+4)>x+7\\ =-4x-16>x+7\\ =5x<-23\\ x<-\frac{23}{5}\\ \boxed{x\in(-\infty, -\frac{23}{5})}\)