Answer :

Answer:

x < 15

Step-by-step explanation:

Okay we start with the original inequality:

(1/2x−6) < 3/2​

Then add 6 to both sides to isolate the term with (x):

1/2​x < 3/2​+6

Convert 6 to a fraction with a denominator of 2 to combine with 3/2:

1/2x < 3/2 ​+ 12​/2

Then add the fractions on the right side:

1/2x < 15/2

Multiply both sides by 2 to solve for (x):

x < 15

So, the solution is (x < 15), meaning any value of (x) less than 15 satisfies the inequality.