SOLUTION: for y=3|7-2x| + 5, which set describes x when y<8? A. {x|3<x<4} B. {x|3<x<10} C. {x|x<3 or x>4} D. {x|x<3 or x> 10}

Algebra ->  Coordinate Systems and Linear Equations  -> Lessons -> SOLUTION: for y=3|7-2x| + 5, which set describes x when y<8? A. {x|3<x<4} B. {x|3<x<10} C. {x|x<3 or x>4} D. {x|x<3 or x> 10}      Log On


   



Question 253391: for y=3|7-2x| + 5, which set describes x when y<8?
A. {x|3 B. {x|3 C. {x|x<3 or x>4}
D. {x|x<3 or x> 10}

Answer by edjones(8007) About Me  (Show Source):
You can put this solution on YOUR website!
3|7-2x| + 5 < 8
3|7-2x|<3
|7-2x|<1
.
7-2x<1
-2x<-6
x>3 reverse inequality sign
.
7-2x>-1 reverse inequality sign and 1 becomes negative.
-2x>-8
x<4 reverse inequality sign
.
A. 3