Question

solve the inequalities: 2 (x-2)<-(x+7).​

Answer 1

Answer:

Step-by-step explanation:Given, 2(x-2) < -(x+7)

so expanding we get ,

2x-4 <  - x -7

adding on both sides, 2x+x-4<-x+x-7

3x-4<-7

adding 4 on both sides,

3x-4+4<-7+4

3x<-3

dividing by 3 on both sides since 3 is positive sign does not change

x<-3/3

x<-1

so x belongs to the interval (-∞,-1)

Hope this helps.