Exercice 1 Résoudre dans R les inéquations suivantes : 2x^(2)-5x+3 > 0

1. To solve the quadratic inequality , we can start by finding its roots. This requires factoring or using the quadratic formula: Where, for our equation:a = 2, b = -5, and c = 3Using the quadratic formula, the roots are: and The quadratic curve, being positive (as a > 0), opens upwards. This means that the values of the quadratic will be negative between its roots and positive outside this interval.Thus, the solution to the inequality is .