determine the smallest integer value of x in the solution of the following inequlaity.

we have
-3x-7 < 14
Solve for x
Adds 7 both sides
-3x < 14+7
-3x < 21
Divide by -3 both sides
Remember that
when you multiply or divide both sides of an inequality by a negative number, you must reverse the inequality symbol
so
the solution is all real numbers greater than -7