Hey there!
4x + 6 < 18
SUBTRACT 6 to BOTH SIDES
4x + 6 - 6 < 18 - 6
CANCEL out: 6 - 6 because it give you 0
KEEP: 18 - 6 because it help compare to the x-value
SIMPLIFY IT!
4x < 18 - 6
4x < 12
DIVIDE 4 to BOTH SIDES
4x/4 < 12/4
CANCEL out: 4/4 because it give you 1
KEEP: 12/4 because it help give you the compared value to the x.
SIMPLIFY IT!
x < 12/4
x < 3
Therefore, your answer is: x < 3 (the graph is below)
Good luck on your assignment & enjoy your day!
~Amphitrite1040:)