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Reading a number line from left to right, which of these runs of integers could NOT appear?

Class 6IntegersIntegers
  • A−9, −8, −7
  • B−1, 0, 1
  • C−3, −5, −7
  • D0, 2, 4

Step-by-Step Solution

Read from left to right, values must increase. The runs −9, −8, −7 and −1, 0, 1 and 0, 2, 4 all increase. But −3, −5, −7 gets smaller at every step, so it could only be read right to left. The trap is believing −3, −5, −7 grows because its digits grow.
Answer: C) −3, −5, −7

Key idea: Integers on the number line

Draw a line, mark zero in the middle, and step off equal distances. To the right: 1, 2, 3, …. To the left: −1, −2, −3, …. Every integer has its own spot. The further left, the smaller the integer. The further right, the larger. This single picture is the foundation for everything else in this topic — when in doubt, draw the line.

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