Answer:
The correct answer is B, or 2: A number line from negative 5 to 5 in increments of 1. An open circle is at 3 and a bold line starts at 3 and is pointing to the right.
Step-by-step explanation:
To solve the inequality 3(8 – 4x) < 6(x – 5), follow these steps:
First, distribute the 3 into (8 - 4x) and the 6 into (x - 5):
[tex]24 - 12x < 6x - 30[/tex]
Next, add 12x to both sides to get all x terms on one side
[tex]24 < 18x - 30[/tex]
Then, add 30 to both sides to get constants on the other side:
[tex]54 < 18x[/tex]
Then, divide both sides by 18 to solve for x:
[tex]\frac{54}{18} < \frac{18x}{18}[/tex]
Simplifying:
[tex]3 < x[/tex]
From this equation, it is seen that x is greater than 3. On a number line, this is represented by an open circle at 3 with a line extending to the right, indicating all numbers greater than 3.
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