Q. Which is the greatest integer that makes the inequality 3−2x>9 a true statement?(1) −2(3) 5(2) 2(4) −4
Isolate x: Step 1: Simplify the inequality by isolating x. Subtract 3 from both sides to get -2x > 6.
Divide and Flip: Step 2: Divide both sides by −2, remembering to flip the inequality sign because we are dividing by a negative number. This gives x < -3.
Identify Integer: Step 3: Identify the greatest integer less than −3 from the given choices. The choices are −2, 5, 2, and −4.
Choose Correct Answer: Step 4: Since −4 is less than −3 and is the smallest integer among the choices, it is the correct answer.
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