Step-by-step explanation:
[tex]-6x+3>-39\qquad\text{subtract 3 from both sides}\\\\-6x+3-3>-39-3\\\\-6x>-42\qquad\text{change the all signs}\\\\6x<42\qquad\text{divide both sides by 6}\\\\\dfrac{6x}{6}<\dfrac{42}{6}\\\\\boxed{x<7}[/tex]
[tex]<,\ >-\text{op}\text{en circle}-\circ\\\leq,\ \geq-\text{closed circle}-\bullet\\\\<,\ \leq-\text{draw the line to the left}\\>,\ \geq-\text{draw the line to the right}[/tex]
