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-3 >= x-1

2 >= x

-2 >= x

-4 >= x

4 >= x

3x1 -3 \geq x-1 \newline2x 2 \geq x \newline2x -2 \geq x \newline4x -4 \geq x \newline4x 4 \geq x

Full solution

Q. 3x1 -3 \geq x-1 \newline2x 2 \geq x \newline2x -2 \geq x \newline4x -4 \geq x \newline4x 4 \geq x
  1. Solve Inequality 3x-3 \geq x: First, let's solve the inequality 3x1-3 \geq x - 1. Add 11 to both sides to isolate xx. 3+1x1+1-3 + 1 \geq x - 1 + 1 2x-2 \geq x
  2. Check Other Inequalities: Now let's check the other inequalities.\newlineFor 2x2 \geq x, this is already solved for xx, no need to do anything.
  3. Compare Solutions: For 2x-2 \geq x, this is also already solved for xx, no need to do anything.
  4. Compare Solutions: For 2x-2 \geq x, this is also already solved for xx, no need to do anything.For 4x-4 \geq x, this is already solved for xx, no need to do anything.
  5. Compare Solutions: For 2x-2 \geq x, this is also already solved for xx, no need to do anything.For 4x-4 \geq x, this is already solved for xx, no need to do anything.For 4x4 \geq x, this is already solved for xx, no need to do anything.
  6. Compare Solutions: For 2x-2 \geq x, this is also already solved for xx, no need to do anything.For 4x-4 \geq x, this is already solved for xx, no need to do anything.For 4x4 \geq x, this is already solved for xx, no need to do anything.Now, let's compare the solutions.\newlineWe have 2x-2 \geq x from the first inequality.\newlineThe other inequalities are: 2x2 \geq x, 2x-2 \geq x, 4x-4 \geq x, and 4x4 \geq x.\newlineThe correct inequality that matches our solution is 2x-2 \geq x.

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