Question

Which values of x is the solution set of the inequality 7 (x+1) > -14?

Answer 1

The solution of given inequality is: $x>-3$

Solution:

Given inequality is:

$7(x+1)>-14$

We have to find the value of "x"

Let us solve the given inequality

Divide both sides of inequality by 7

$\frac{7\left(x+1\right)}{7}>\frac{-14}{7}$

Simplify the above expression

$(x+1)>-2$

$x+1>-2$

$\mathrm{Subtract\:}1\mathrm{\:from\:both\:sides\: of\: inequality}$

$x+1-1>-2-1\\\\x>-3$

Thus the value of x is $x>-3$