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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):
1/2x < 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.