Questions: Solve and graph the following inequality. 0.2 x < -18 Select the correct choice below and fill in the answer box to complete your choice. A. The solution set is x x ≤ 3. B. The solution set is x x ≥ C. The solution set is xx> D. The solution set is x x< Which of the following is the graph of the solution? A. B. C. D.

Solve and graph the following inequality.
0.2 x < -18

Select the correct choice below and fill in the answer box to complete your choice.
A. The solution set is x x ≤ 3.
B. The solution set is x x ≥
C. The solution set is xx>
D. The solution set is x x<

Which of the following is the graph of the solution?
A. B.
C. D.

Transcript text: Solve and graph the following inequality. \[ 0.2 x<-18 \] Select the correct choice below and fill in the answer box to complete your choice. A. The solution set is $\{x \mid x \leq$ $\square$ 3. B. The solution set is $\{x \mid x \geq$ $\square$ C. The solution set is $\{x|x\rangle$ $\square$ D. The solution set is $\{x \mid x<$ $\square$ $\}$. Which of the following is the graph of the solution? A. B. c. D.

Solution

Solution Steps

Step 1: Solve the inequality

Divide both sides of the inequality $0.2x < -18$ by $0.2$:

$x < \frac{-18}{0.2}$ $x < -90$

Step 2: Express the solution set

The solution set is $\{x | x < -90\}$.

Step 3: Identify the correct graph

The graph should show all values less than -90. This is represented by an arrow pointing to the left from -90, with an open circle at -90 (since -90 is not included). This corresponds to graph C.