You can not divide by zero in math.
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Answer:
The equivalent expression for |b| > 2 is {b : b < -2} ∪ {b : b > 2}.
Step-by-step explanation:
The expression |x| < a is equivalent to -a < x < a and the expression |x| > a is equivalent to {x : x < -a} ∪ {x : x > a}.
This means, the set of all points that satisfy the inequality |x| < a is the set of all points between -a and a exclusive of -a and a.
The set of all points that satisfy the inequality |x| > a is the set of all points that are less than -a and the set of all points that are greater than a.
Hence, the equivalent expression for |b| > 2 is {b : b < -2} ∪ {b : b > 2}.
Step-by-step explanation:
35. 1000 m / 1 km = 10³
Move the decimal point 3 places to the right.
36. 100 cm / 1 m = 10²
Move the decimal point 2 places to the right.
37. 1 mm / 1000 μm = 10⁻³
Move the decimal point 3 places to the left.
38. 1 km / 1000 m × 1 m / 100 cm = 10⁻⁵
Move the decimal point 5 places to the left.
39. 1 Mm / 10⁶ m × 1 m / 10⁶ μm = 10⁻¹²
Move the decimal point 12 places to the left.
40. 100 cm / m × 1000 m / km = 10⁵
Move the decimal point 5 places to the right.
