Solve the inequality -2x is smaller than 16 -3 and hence find the smallest value of x, if x is an integer.

-2x < 16 - 3 Simplify the right side.

-2x < 13 Divide both sides of the inequality by -2 , and, since it is negative, flip the sign.

x > -13/2

x > -6.5

x can be any number on this blue line:

So...we can see that the smallest integer value of x is -6