Answer is x > -2
Step-by-step explanation
-3x + 1 < 7
Subtract 1 from both sides to combine constants
-3x +1 -1 < 7 -1
Simplify
-3x < 6
Divide both sides by -3 to solve for x
-3/-3 x < 6/-3
x > -2
* note - when you divide by a negative number in equalities you have to flip the sign so < flips to >
I attached the graph to prove the solution
your number line will be a solid circle at -2 pointing to the right like the attachment