Solve the quadratic inequality (x^2 - 4x + 3 0).

Question

Solve the quadratic inequality (x^2 - 4x + 3 > 0).

Accepted Answer

Step:1 ：Step 1: Rewrite the inequality as ((x-1)(x-3) > 0) to find the roots of the equation.Step:2 ：Step 2: Determine the critical points from the roots, which are x = 1 and x = 3.Step:3 ：Step 3: Make a sign chart and test the intervals (-∞, 1), (1, 3), and (3, ∞) using the inequality ((x-1)(x-3) > 0).Step:4 ：Step 4: From the sign chart, we find that ((x-1)(x-3) > 0) on (-∞, 1) and (3, ∞).

Answer

Step: 1 ：Step 1: Rewrite the inequality as ((x-1)(x-3) > 0) to find the roots of the equation.Step: 2 ：Step 2: Determine the critical points from the roots, which are x = 1 and x = 3.Step: 3 ：Step 3: Make a sign chart and test the intervals (-∞, 1), (1, 3), and (3, ∞) using the inequality ((x-1)(x-3) > 0).Step: 4 ：Step 4: From the sign chart, we find that ((x-1)(x-3) > 0) on (-∞, 1) and (3, ∞).

Solve the quadratic inequality \(x^2 - 4x + 3 > 0\).

Answer

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