Answer:
[tex]x>\frac{-1}{5}[/tex]
[tex]y>-2[/tex]
Step-by-step explanation:
i) [tex]3x+3>-2x+2
[/tex]
adding and subtracting 2x and 3 from both sides we get
[tex]3x+3+2x-3>-2x+2+2x-3[/tex]
[tex]3x+2x>2-3[/tex]
[tex]5x>-1[/tex]
Dividing both sides by 5 we get
[tex]x>\frac{-1}{5}[/tex]
2. [tex]5(y+2)+3y>-6[/tex]
[tex]5y+10+3y>-6[/tex]
[tex]8y+10>-6[/tex]
Subtracting 10 from both sides we get
[tex]8y+10-10>-6-10[/tex]
[tex]8y>-16[/tex]
Dividing both sides by 8 we get
[tex]y>-2[/tex]
