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QUESTION IMAGE

b \\(|2x - 5| > |3 - x|\\)

Question

b \\(|2x - 5| > |3 - x|\\)

Explanation:

Square both sides of the inequality

$$ (2x - 5)^2 > (3 - x)^2 $$

Expand and simplify the expressions

$$ LATEXBLOCK0 $$

Factor and solve the quadratic inequality

$$ LATEXBLOCK1 $$

Answer:

\(x < 2\) or \(x > \frac{8}{3}\)