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The number line which represents the solution set for inequality 3(8-4x)<6(x-5) is (3,inf).
Given an inequality 3(8-4x)<6(x-5).
We have to find the solution set for the given inequality.
<h3>What is inequality?</h3>
A statement of an order relationship greater than, greater than or equal to, less than, or less than or equal to between two numbers or algebraic expressions.
⇒ 24-12x<6x-30
⇒ 24+30<6x+12x
⇒ 54<18x
⇒ x>54/18
⇒ x>3
Hence, the number line which represents the solution set for inequality 3(8-4x)<6(x-5) is (3,inf).
That is starting from 3 and goes up to infinity.
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