If x is a real number,for what values of x do | vedclass

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(B) To solve the inequality $3x^2 + 14x + 11 > 0$,we first find the roots of the quadratic equation $3x^2 + 14x + 11 = 0$.Using the factorization meth

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$x  -1$

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(B) To solve the inequality $3x^2 + 14x + 11 > 0$,we first find the roots of the quadratic equation $3x^2 + 14x + 11 = 0$.Using the factorization method: $3x^2 + 3x + 11x + 11 = 0$.$3x(x + 1) + 11(x + 1) = 0$.$(3x + 11)(x + 1) = 0$.The roots are $x = -\frac{11}{3}$ and $x = -1$.Since the coefficient of $x^2$ is positive $(3 > 0)$,the parabola opens upwards.The expression $3x^2 + 14x + 11$ is positive outside the interval between the roots.Therefore,the inequality holds for $x  -1$.

If $x$ is a real number,for what values of $x$ does $3x^2 + 14x + 11 > 0$ hold?

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