Question

Plot and Compare Integers using a Number Line.

Plot -4. Which statements are true? Check all that apply.
a. -4 < -1
b. -5 < -4
c. 2 < -4
d. 4 < -4
e. -4 = 4
f. -1 < 4

Answer 1

The comparison of integers on a number line shows that -4 < -1, -5 < -4, and -1 < 4 are true statements, while 2 < -4, 4 < -4, and -4 = 4 are false.

Step-by-step explanation:

When plotting and comparing integers on a number line, we need to remember some basic rules regarding the ordering of numbers. For any two different numbers on the number line, the one to the left is smaller than the one to the right. This helps us answer which statements about -4 on a number line are true:

• -4 < -1: True, because -4 is to the left of -1 on the number line.
• -5 < -4: True, as -5 is located to the left of -4.
• 2 < -4: False, 2 is to the right of -4 and therefore greater than -4.
• 4 < -4: False, 4 is much further to the right of the number line and is greater than -4.
• -4 = 4: False, these are opposite numbers and not equal.
• -1 < 4: True, since -1 is to the left of 4, it is indeed less than 4.