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Which is the greatest integer that makes the inequality 
3-2x > 9 a true statement?
(1) -2
(3) 5
(2) 2
(4) -4

Which is the greatest integer that makes the inequality 32x>9 3-2 x>9 a true statement?\newline(11) 2-2\newline(33) 55\newline(22) 22\newline(44) 4-4

Full solution

Q. Which is the greatest integer that makes the inequality 32x>9 3-2 x>9 a true statement?\newline(11) 2-2\newline(33) 55\newline(22) 22\newline(44) 4-4
  1. Isolate xx: Step 11: Simplify the inequality by isolating xx. Subtract 33 from both sides to get 2x>6-2x > 6.
  2. Divide and Flip: Step 22: Divide both sides by 2-2, remembering to flip the inequality sign because we are dividing by a negative number. This gives x<3x < -3.
  3. Identify Integer: Step 33: Identify the greatest integer less than 3-3 from the given choices. The choices are 2-2, 55, 22, and 4-4.
  4. Choose Correct Answer: Step 44: Since 4-4 is less than 3-3 and is the smallest integer among the choices, it is the correct answer.

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