Answer:
x =
![x < (7)/(2)](https://img.qammunity.org/2022/formulas/mathematics/middle-school/4jimntuoz1pq2y95wnvyx96cez03q3t6z9.png)
Step-by-step explanation:
convert the mixed numbers to an improper fraction:
![(1)/(3) x - 3 < - 1 (5)/(6)](https://img.qammunity.org/2022/formulas/mathematics/middle-school/g2ajd73n3h2zjn9v2dexz68nj4a68x73as.png)
multiply both sides of the inequality by 6:
![2x - 18 < - 11](https://img.qammunity.org/2022/formulas/mathematics/middle-school/j8z03vn2hbffv45pndgpz8giad3xtfa909.png)
move the constant to the right-hand side & change its sign:
![2x < - 11 + 18](https://img.qammunity.org/2022/formulas/mathematics/middle-school/x47be1tupmyqlbfbvjq6xlqs3eiam3mb51.png)
calculate the sum:
![2x < 7](https://img.qammunity.org/2022/formulas/mathematics/middle-school/jtoy6af24tuvrx9db48oha3be5cj3h3me9.png)
divide both sides of the inequality by 2:
![x < (7)/(2)](https://img.qammunity.org/2022/formulas/mathematics/middle-school/4jimntuoz1pq2y95wnvyx96cez03q3t6z9.png)
YOU"RE WELCOME :)