Question

Use a sign chart to solve (2x + 3)(x + 8) ≥ 0. (–8, –) option 1(–∞, –8] or [–, ∞) option 2(–∞, –8) or (–, ∞) option 3[–8, –] option 4

Answer 1

As given by the question

There are given that the inequality

$(2x+3)(x+8)\ge0$

Now,

For identify the interval

$\begin{gathered} (2x+3)(x+8)\ge0 \\ 2x+3\ge0 \\ x\ge-\frac{3}{2} \\ x+8\ge0 \\ x\leq-8 \end{gathered}$

So, the value will be:

$(-\infty,\text{ -8\rbrack or \lbrack}\frac{\text{-3}}{2},\text{ }\infty)$

Hence, the correct option is B.