Solve the inequality 2x2+5x−12⩽02x^2 + 5x - 12 \leqslant 02x2+5x−12⩽0, giving your answer in set notation.
Determine whether there is any value of x x\,x that satisfies both of the inequalities 2x2+5x−12⩽02x^2 + 5x - 12 \leqslant 02x2+5x−12⩽0 and 4x−1>x+54x - 1 > x + 54x−1>x+5 Fully justify your answer.