Answer:
x > -1.4
Step-by-step explanation:
[tex]3(x+1)+2(x+2)>0\qquad\text{use the distributive property}\ a(b+c)=ab+ac\\\\3x+3+2x+4>0\qquad\text{combine like terms}\\\\(3x+2x)+(3+4)>0\\\\5x+7>0\qquad\text{subtract 7 from both sides}\\\\5x>-7\qquad\text{divide both sides by 5}\\\\x>-\dfrac{7}{5}\to x>-1.4[/tex]
