1. ## can someone check behind me please

[2x-9]<3 ----- 2x-9+9<3+9 ----- 2x<12 -----x<6

[3x-4]<-13----- 3x-4+4<-13+4 ---- 3x>-9 ---- x>-3

[2x-2]=x+1 ----2x-2+2=x+1+2 ----2x=x+3-x ---2x-x=3 ----x=3

solutions to systems

y>-2x+1
y<3x+5 (-3,2), (-1,5), (3,6) ---- I say it's (3,6)

2. Originally Posted by UKMUG
[2x-9]<3 ----- 2x-9+9<3+9 ----- 2x<12 -----x<6

[3x-4]<-13----- 3x-4+4<-13+4 ---- 3x>-9 ---- x>-3

[2x-2]=x+1 ----2x-2+2=x+1+2 ----2x=x+3-x ---2x-x=3 ----x=3

solutions to systems

y>-2x+1
y<3x+5 (-3,2), (-1,5), (3,6) ---- I say it's (3,6)
You flipped the inequality in the second line. There's a spurious +x on the RHS in the third formula on the third line but the answer is OK.

The system y > -2x+1 and y < 3x+5 has infinitely many solutions: if you draw a graph it's the collection of points between two parallel lines. Are you trying to solve all the equations and inequalities at once?