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solve the following inequality. \\\\frac{4x + 3}{2} \\ge 2x\\ all real …

Question

solve the following inequality.

\\\frac{4x + 3}{2} \ge 2x\\

all real numbers

no solutions

Explanation:

Multiply both sides by 2

$$ 4x + 3 \ge 4x $$

Subtract 4x from both sides

$$ 3 \ge 0 $$

Determine the solution set

$$ \text{Since } 3 \ge 0 \text{ is always true, the inequality holds for all real numbers.} $$

Answer:

  • All real numbers (Correct answer)
  • No solutions