SOLUTION: 2x+7<x+7 -5x<-21 -7/8<-6x 9x>-8 x/3-1<2/5 a+4<-12 x+9>1 q<-6

Algebra ->  Inequalities -> SOLUTION: 2x+7<x+7 -5x<-21 -7/8<-6x 9x>-8 x/3-1<2/5 a+4<-12 x+9>1 q<-6       Log On


   

Question 403331: 2x+7 -5x<-21
-7/8<-6x
9x>-8
x/3-1<2/5
a+4<-12
x+9>1
q<-6
Answer by Tatiana_Stebko(1539) About Me  (Show Source):
You can put this solution on YOUR website!
2x%2B7+-5x%3C-21+
2x-5x%3C-21-7+
-3x%3C-28+If we divide both sides the inequality by a negative number, then the inequality sign reverses
x%3E%28-28%29%2F%28-3%29+
x>9 1/3
.
-7%2F8%3C-6x+divide both sides the inequality by a negative number (-6), then the inequality sign reverses
%28-7%29%2F%288%2A%28-6%29%29%3Ex
x%3C7%2F48
.
9x%3E-8
x%3E-8%2F9
.
x%2F3-1%3C2%2F5
x%2F3%3C2%2F5%2B1
x%2F3%3C2%2F5%2B5%2F5
x%2F3%3C7%2F5multiply both sides at 3
x%3C%287%2A3%29%2F5
x%3C21%2F5
x<4 1/5
.
a%2B4%3C-12
a%3C-12-4
a%3C-16
.
x%2B9%3E1
x%3E1-9
x%3E-8