Question

5+12x>3x+3 The solution of this inequality consists one or more of the following intervals: (−∞,A) and (A,

Answer 1

Solve the inequality for x.

`\begin{gathered} 5+12x>3x+3 \\ 5+12x-3x-5>3x+3-3x-5 \\ 9x>-2 \\ (9x)/(9)>-(2)/(9) \\ x>-(2)/(9) \end{gathered}`

So solution of x in terms of interval is,

`(-(2)/(9),\infty)`

The value of A is -2/9.

The interval incuded in the solution of x is,

`(A,\infty)`

Answer:

A = -2/9

`\begin{gathered} (-\infty,A)\colon\text{ No} \\ (A,\infty)\colon\text{ Yes} \end{gathered}`