Answer:
Since a/2⁽ⁿ ⁺ ¹⁾b < a/2ⁿb, we cannot find a smallest positive rational number because there would always be a number smaller than that number if it were divided by half.
Step-by-step explanation:
Let a/b be the rational number in its simplest form. If we divide a/b by 2, we get another rational number a/2b. a/2b < a/b. If we divide a/2b we have a/2b ÷ 2 = a/4b = a/2²b. So, for a given rational number a/b divided by 2, n times, we have our new number c = a/2ⁿb where n ≥ 1
Since 
= a/(2^∞)b = a/b × 1/∞ = a/b × 0 = 0, the sequence converges.
Now for each successive division by 2, a/2⁽ⁿ ⁺ ¹⁾b < a/2ⁿb and
a/2⁽ⁿ ⁺ ¹⁾b/a/2ⁿb = 1/2, so the next number is always half the previous number.
So, we cannot find a smallest positive rational number because there would always be a number smaller than that number if it were divided by half.
Answer:
thats not easy
Step-by-step explanation:
Answer:
We conclude that 'A number t multiplied by -4 is at least −2/5' can be algebraically written as inequality such as:
Step-by-step explanation:
Given
A number t multiplied by -4 is at least −2/5
To determine
Write the sentence as an inequality.
For the inequalities, when we mention 'at least', we can term it as 'greater than or equal to' symbol such as '≥'.
It is stated that A number t multiplied by -4 is at least −2/5.
Let 't' be the number.
Multiplying t by -4 is: -4t
Thus, A number t multiplied by -4 is at least −2/5 will be written as:
-4t ≥ -2/5
Therefore, we conclude that 'A number t multiplied by -4 is at least −2/5' can be algebraically written as inequality such as:
The first answer is the correct one
