The solution of given inequality is: [tex]x>-3[/tex]
Solution:
Given inequality is:
[tex]7(x+1)>-14[/tex]
We have to find the value of "x"
Let us solve the given inequality
Divide both sides of inequality by 7
[tex]\frac{7\left(x+1\right)}{7}>\frac{-14}{7}\\[/tex]
Simplify the above expression
[tex](x+1)>-2[/tex]
[tex]x+1>-2[/tex]
[tex]\mathrm{Subtract\:}1\mathrm{\:from\:both\:sides\: of\: inequality}[/tex]
[tex]x+1-1>-2-1\\\\x>-3[/tex]
Thus the value of x is [tex]x>-3[/tex]
