A Flip on the Line

When solving flips the sign, the direction of the shading flips too. To solve $-2x < 6$, divide both sides by -2 and flip the sign. The solution is $x > -3$. The shading goes to the right, even though the sign in the original inequality was <.

-2x < 6, that is x > -3: shaded to the right

The flip shows why you must solve before you draw. If you read the < in $-2x < 6$ as shade to the left, the picture is wrong. Solving gives $x > -3$, and that tells you to shade to the right.