Question

Which statement is false based on the number line?

a) -21.35 > -22
b) -21.35 < -21
c) -21.35 = -21.35
d) -21.35 ≠ -21

Answer 1

The false statement based on the number line is (b) -21.35 < -21 because -21.35 is actually greater than -21, not less.

Step-by-step explanation:

The student asked which statement is false based on the number line:

• a) -21.35 > -22
• b) -21.35 < -21
• c) -21.35 = -21.35
• d) -21.35 ≠ -21

The correct answer is (b) -21.35 < -21, since on a number line, -21.35 is to the right of -21 and thus greater than -21, not less than it. Options (a), (c), and (d) are all true because:

• -21.35 is greater than -22,
• -21.35 is indeed equal to itself, and
• -21.35 is not equal to -21.