Question
Which graph represents the solution to the inequality?
0.4(x - 4) < 0?
A.
-4-202468101214161820
B.
-4-202468101214161820
C.
-4-202468101214161820
D.
-4-202468101214161820
0.4(x - 4) < 0?
A.
-4-202468101214161820
B.
-4-202468101214161820
C.
-4-202468101214161820
D.
-4-202468101214161820
Answers
GPT-4o mini
To solve the inequality \(0.4(x - 4) < 0\), we start by dividing both sides by 0.4 (which is a positive number, so the direction of the inequality remains unchanged):
\[
x - 4 < 0
\]
Next, we add 4 to both sides:
\[
x < 4
\]
This means the solution to the inequality is all values of \(x\) that are less than 4.
When looking for the correct graph representation, you should find one that shows an open circle (not including 4) at 4, and a shaded area to the left (indicating all numbers less than 4).
Please choose the correct graph based on this description. If you have the graphs labeled A, B, C, D and there's one showing the correct representation of \(x < 4\), that will be the answer.
Since I cannot visualise the graphs, you will need to select the option that visually represents \(x < 4\) with an open circle at 4.
\[
x - 4 < 0
\]
Next, we add 4 to both sides:
\[
x < 4
\]
This means the solution to the inequality is all values of \(x\) that are less than 4.
When looking for the correct graph representation, you should find one that shows an open circle (not including 4) at 4, and a shaded area to the left (indicating all numbers less than 4).
Please choose the correct graph based on this description. If you have the graphs labeled A, B, C, D and there's one showing the correct representation of \(x < 4\), that will be the answer.
Since I cannot visualise the graphs, you will need to select the option that visually represents \(x < 4\) with an open circle at 4.