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Ordering Integers Using Inequality Symbols
To compare two integers, locate both on a number line and determine which lies farther to the right. The number farther right is the greater one. For example:
- because is to the right of .
- because is to the left of .
- because is to the right of .
- because is to the right of .
A common misconception is that a number with a larger digit is always greater; however, is less than even though the digit is larger than among counting numbers.
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Ordering Integers Using Inequality Symbols
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A logistics supervisor is organizing a horizontal visual board to track shipment variances relative to a scheduled arrival time. Following the standard geometric interpretation of number lines, arrange the following shipment statuses in the correct order as they would appear on the board from left to right.
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A manager uses a horizontal number line to visualize the efficiency ratings of different manufacturing plants. If the point representing Plant A's rating () is located to the right of the point representing Plant B's rating (), which inequality correctly identifies the relationship between the two ratings?
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An HVAC technician is monitoring the temperature of two industrial freezers in a warehouse. Freezer A is set to -12 degrees Fahrenheit and Freezer B is set to -18 degrees Fahrenheit. Which statement correctly compares the temperatures of the two freezers based on their positions on a horizontal number line?
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A project manager is reviewing the net variances of four different department budgets. The variances are: -$2,500, $1,000, -$5,000, and -$500. Arrange these values in order from least to greatest (from the value that would be farthest to the left to the value that would be farthest to the right on a horizontal number line).
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A warehouse manager is tracking inventory levels for items that are currently on back-order. Item A has a stock level of -15 units, and Item B has a stock level of -20 units. Which inequality statement correctly represents the relationship between these two inventory levels?
A quality control technician is monitoring the temperature variance in two different cold-storage units. Unit 1 has a variance of -5°F and Unit 2 has a variance of -12°F. According to the standard rule for ordering integers on a horizontal number line, which statement correctly identifies the greater value?