Question

I need the answer as fast as possible because I have to go somewhere

Answer 1

SOLUTION

Step1: Write out the inequality

$8x-(5x+4)\ge-31$

Step 2: Solve the inequality above

$\begin{gathered} 8x-(5x+4)\ge-31\ldots\ldots\text{ Expand the parenthesis} \\ 8x-5x-4\ge-31\ldots\text{.. collect like terms} \\ 8x-5x\ge-31+4\ldots..\text{ Add the expression} \\ 3x\ge-27 \end{gathered}$

by further simplification, we have

$\begin{gathered} 3x\ge-27\ldots\text{.. divide bothe side by the coefficient of x} \\ x\ge\frac{-27}{3} \\ x\ge-9 \end{gathered}$

Step 3: Rewite the solution in other forms

The solution can also be written as

$1.\text{ -9 }\leq x$

Then using number line we have

This is a number line with an enclosed circle shaded towards the right

Therefore the solution to this inequality cannot represented as a number line with an enclosed circle on -9 shaded to the left

The right option is C