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solve the following inequality. \\-2x < -2(x - 4)\\ all real numbers no…

Question

solve the following inequality.
\\-2x < -2(x - 4)\\
all real numbers
no solutions

Explanation:

Expand the right side

$$ -2x < -2x + 8 $$

Add 2x to both sides

$$ 0 < 8 $$

Evaluate the statement

$$ 0 < 8 \quad (\text{Always true}) $$

Answer:

  • All real numbers (Correct answer)
  • No solutions