<span>1 - All real numbers are rational numbers. FALSE All real numbers are NOT rational numbers. The real numbers are made up of rational numbers and irrational numbers.
2 - Some rational numbers are natural numbers. TRUE All natural number are rational numbers but not all rational numbers are natural numbers. Thus, some rational numbers are natural numbers.
3 - No real numbers are irrational numbers. FALSE </span><span>The real numbers are made up of rational numbers and irrational numbers.
Thus, some real numbers are natural numbers.
4 - All whole numbers are integers. TRUE The whole numbers are the natural numbers plus 0. The integers comprises of the whole numbers plus the negative of the whole numbers. Thus, all whole numbers are integers.
5 - Some integers are natural numbers. TRUE </span>The integers comprises of the whole numbers plus the negative of the whole numbers. <span><span>The whole numbers are the natural numbers plus 0. The natural numbers are the counting numbers, i.e. 1, 2, 3, . . . which are also part of integers. Thus, some integers are natural numbers.
</span>6 - No rational numbers are integers.
FALSE The rational numbers are made up of the integers and any number that can be expressed as a fraction.</span> Thus, all integers are rational numbers and some rational numbers are integers.
Let us assume the number of turtles = x Then Number of frogs = x + 4 Number of crayfish = 2x + 3 Total number of turtles and crayfish = 54 Then we can write the equation as x + 2x + 3 = 54 3x + 3 = 54 3x = 54 - 3 3x = 51 x = 51/3 = 17 Then The number of frogs = x + 4 = 17 + 4 = 21 So there are 21 frogs in the pond that has been counted by Ramon.
