Respuesta :

Solve the inequality for x.

[tex]\begin{gathered} 5+12x>3x+3 \\ 5+12x-3x-5>3x+3-3x-5 \\ 9x>-2 \\ \frac{9x}{9}>-\frac{2}{9} \\ x>-\frac{2}{9} \end{gathered}[/tex]

So solution of x in terms of interval is,

[tex](-\frac{2}{9},\infty)[/tex]

The value of A is -2/9.

The interval incuded in the solution of x is,

[tex](A,\infty)[/tex]

Answer:

A = -2/9

[tex]\begin{gathered} (-\infty,A)\colon\text{ No} \\ (A,\infty)\colon\text{ Yes} \end{gathered}[/tex]