Question

The number of pounds that can be loaded safely onto an elevator, x, can be represented by the inequality x greater than or equal to 1200. Which number line correctly represents this inequality

Answer 1

The number line representing the inequality x greater than or equal to 1200 will start at 1200 with a closed circle and extend to the right, showing that all numbers 1200 and above are included.

Step-by-step explanation:

The inequality that represents the number of pounds that can be loaded safely onto an elevator being x greater than or equal to 1200 can be represented on a number line. To correctly showcase this on a number line, you would draw a thick line or ray that starts at 1200 and extends towards the right to represent all the numbers that are greater than or equal to 1200. At the point of 1200, you would have a closed circle to indicate that 1200 is included in the set of numbers that satisfy the inequality.

Imagine the number line with numbers increasing from left to right. To represent x greater than or equal to 1200, you'd put a closed dot on 1200 to symbolize '1200 is included' and draw a line going to the right from 1200. This indicates that any number that is 1200 or higher is a solution to the inequality.

Answer 2

The number line which correctly represents the inequality x ≥ 1200 is Line 2.

The answer is option ⇒2

Step-by-step explanation:

In this representation, the number line starts at zero and extends to the right. The point marked with an "o" represents the value 1200. Since the inequality is x ≥ 1200, it means that any value of x that is equal to or greater than 1200 is a valid solution.

Therefore, the line is shaded to the right of the marked point to indicate all the values that satisfy the inequality.

Values such as 1200, 1800, 2000, and 5000 are all valid solutions, as they are equal to or greater than 1200. However, values like 1000 and 800 would not satisfy the inequality, as they are less than 1200.

The answer is option ⇒2. Line 2

Your question is incomplete, but most probably the full question was:

The number of pounds that can be loaded safely onto an elevator, x, can be represented by the inequality x greater than or equal to 1200. Which number line correctly represents this inequality? (See the image below)

1. Line 1
2. Line 2
3. Line 3
4. Line 4