1. if a = -3.4 and b = -3.6, which of the following inequalities is not true?
a. a > b
b. |a| ≤ |b|
c. b ≤ a
d. |b| < a
2. which of the following numbers is not between -2.6 and 1.3 on the number line?
a. -1.8
b. 0.5
c. 1.4
d. -2.1
3. choose the symbol that makes a true statement.
-3.8 0.1
a. <
b. >
c. =

1. D

2. C

3. A

Step-by-step explanation:

1. -3.4 is in fact > -3.6

|-3.4| <= |-3.6| is correct since |-3.4|=3.4, and |-3.6| is 3.6

-3.6<=-3.4 true, is pretty much the same as the first option

|b|<a is false, since |b|=3.6 and 3.6 is not < -3.4

2. 1.4 is outside the tange (-2.6, 1.3)

3.  0,1 is greater than -3.8, hence, opt A. is the symbol that must be used

1. D. |b| < a

2. C. 1,4

3. A. <

Step-by-step explanation:

3. Obviously, a positive number is greater than a negative number.

2. The largest negative number is the least, so anything behind that is even more less. Obviously, 1,4 is ⅒ greater than 1,3 and is OUTSIDE the range, so this is a giveaway.

1. Absolute values are ALWAYS positive, so the absolute value of -3,6 is 3,6, and -3,4 remains the same. Positive numbers are greater than negative numbers, so this is a false statement. 3,6 is NEVER less than -3,4.

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