Answer:
x = [tex]x < \frac{7}{2}[/tex]
Step-by-step explanation:
convert the mixed numbers to an improper fraction:
[tex]\frac{1}{3} x - 3 < - 1 \frac{5}{6}[/tex]
multiply both sides of the inequality by 6:
[tex]2x - 18 < - 11[/tex]
move the constant to the right-hand side & change its sign:
[tex]2x < - 11 + 18[/tex]
calculate the sum:
[tex]2x < 7[/tex]
divide both sides of the inequality by 2:
[tex]x < \frac{7}{2}[/tex]