Ejercicios sección 4.3

Resolver los siguientes ejercicios por el método adecuado.

  1. $\hspace{0.1cm}4x-3< 2x + 5$
  2. $\hspace{0.1cm}-1< 1 2-2x<3$
  3. $\hspace{0.1cm} \mid 2x+3\mid >9$
  4. $\hspace{0.1cm}\mid 2x-7\mid \leq 1$
  5. $\hspace{0.1cm}\mid x+\sqrt{2}\mid\geq1$
  6. $\hspace{0.1cm}\mid \cfrac{3x-1}{-4}\mid >2$
  1. $\hspace{0.1cm}3x^2+x-10>0$
  2. $\hspace{0.1cm}-3x^2>-21x+30$
  3. $\hspace{0.1cm}\cfrac{\left(x+2\right)\left(3-x\right)}{\left(x+1\right)\left(x^2+1\right)}\leq 0$
  4. $\hspace{0.1cm}\cfrac{x+1}{x+3}\leq -1$