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Find the solution set of the inequality

{:[12-6x > 24.],[x < vv◻]:}

Find the solution set of the inequality\newline126x>24.x< \begin{array}{l} 12-6 x>24 . \\ x<\vee \square \end{array}

Full solution

Q. Find the solution set of the inequality\newline126x>24.x< \begin{array}{l} 12-6 x>24 . \\ x<\vee \square \end{array}
  1. Subtract 1212: Subtract 1212 from both sides to isolate the term with xx.\newline126x12>241212 - 6x - 12 > 24 - 12\newline6x>12-6x > 12
  2. Divide by 6-6: Divide both sides by 6-6, remembering to flip the inequality sign because we're dividing by a negative number.\newline6x/6<12/6-6x / -6 < 12 / -6\newlinex<2x < -2

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