Question

this question has two parts. first, answer part a. then, answer part b.
part a
consider the inequality 1.1x < -4.4
solve the inequality.
part b
complete the description of the solution set of the inequality.
a graph of the solution set has a(n) select choice endpoint at select choice and an arrow that points to the select choice.

Explanation:

Step1: Solve the inequality \(1.1x < -4.4\)

To isolate \(x\), divide both sides of the inequality by \(1.1\). Since \(1.1>0\), the direction of the inequality sign remains the same.

$$ x < \frac{-4.4}{1.1} $$

Calculate \(\frac{-4.4}{1.1}=-4\), so \(x < - 4\).

Step2: Analyze the graph of the solution set

• The endpoint: Since the inequality is \(x < - 4\) (not \(x\leq - 4\)), the endpoint at \(x = - 4\) is an open circle (because \(x=-4\) is not included in the solution set).
• The direction of the arrow: Since \(x\) is less than \(-4\), the arrow points to the left (towards negative infinity, or smaller numbers).

Answer:

(Part A):
\(x < - 4\)