Solved on Dec 08, 2023

Plot the set {3.5,2.5,2.0,1.5}\{-3.5, -2.5, -2.0, 1.5\} on the number line.

STEP 1

Assumptions
1. We have a set of numbers {3.5,2.5,2.0,1.5}\{-3.5, -2.5, -2.0, 1.5\}.
2. We need to plot these numbers on a number line.
3. The number line is a horizontal line with marks at regular intervals to represent integers and fractions or decimals in between.

STEP 2

Draw a horizontal line to represent the number line.

STEP 3

Mark the points on the number line where the integers are located. Ensure that the distance between each integer is equal.

STEP 4

Identify the location of each number in the set on the number line. For example, -3.5 is between -4 and -3, closer to -3.

STEP 5

Mark the point -3.5 on the number line slightly to the left of the -3 mark because -3.5 is half a unit less than -3.

STEP 6

Mark the point -2.5 on the number line slightly to the left of the -2 mark because -2.5 is half a unit less than -2.

STEP 7

Mark the point -2.0 directly under the -2 mark on the number line because -2.0 is an integer.

STEP 8

Mark the point 1.5 on the number line slightly to the right of the 1 mark because 1.5 is half a unit more than 1.

STEP 9

Label each point with its corresponding value from the set to avoid confusion.
The set {3.5,2.5,2.0,1.5}\{-3.5, -2.5, -2.0, 1.5\} has now been plotted on the number line.

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