First Periodical Test

1. Translate, "Thrice the difference of six less than a number and three is less than twice the number."

3n – 9 < 2n

3[(n - 6) - 3] < 2n

3n – 21 < 2n

3n + 18 < 2n

Thrice the difference of six less than a number and three is less than twice the number.
3* ( ( - 6 + n ) - 3 ) 3 ((n – 6) – 3) 3[(n - 6) - 3]

Explanation

Thrice the difference of six less than a number and three is less than twice the number.
3* ( ( - 6 + n ) - 3 ) 3 ((n – 6) – 3) 3[(n - 6) - 3]

2. If Prime = { 1, 2, 3, 5} and Even = { 2, 4, 6}; Find Prime ∩ Even?

{2}

{}

{1, 2, 3, 4, 5, 6}

{1, 3, 4, 5, 6}

∩ means intersection, this refers to some image or elements are common on both domains.
U means Union, this refers to all the elements on both domains excluding repeated elements.

Explanation

∩ means intersection, this refers to some image or elements are common on both domains.
U means Union, this refers to all the elements on both domains excluding repeated elements.

3. Which statements can never have a natural number?

The number of eggs hatched

The picture of P-noy in a fifty peso bill

The amount of water in maynilad’s dam

The rate of a decreasing population.

The number of eggs hatched (Natural numbers)
The picture of P-noy in a fifty peso bill (Zero)
The amount of water in maynilad’s dam (irrational numbers)
The rate of a decreasing population.(negative integers)
• The only possible solution sets are natural numbers and the domains where the domain of natural numbers fall under. The Negative integers is a different set under integers. In this kind of problem you can only pick the upper branches and not its outer ones.

Explanation

The number of eggs hatched (Natural numbers)
The picture of P-noy in a fifty peso bill (Zero)
The amount of water in maynilad’s dam (irrational numbers)
The rate of a decreasing population.(negative integers)
• The only possible solution sets are natural numbers and the domains where the domain of natural numbers fall under. The Negative integers is a different set under integers. In this kind of problem you can only pick the upper branches and not its outer ones.

4. On the number line fine half the distance between -4 and 6

5

-5

1

-1

*-4 is 4 units away from zero at the same time 6 is units from zero. The total distance from both numbers is
4 + 6 = 10
…therefore the answer is five because half of ten is 5! Right?!

Explanation

*-4 is 4 units away from zero at the same time 6 is units from zero. The total distance from both numbers is
4 + 6 = 10
…therefore the answer is five because half of ten is 5! Right?!