Question

Let J be the set of rational numbers greater than or equal to -5/2 but less than or equal to 7/4 Which rational number does NOT belong to J?

a. -3/2
b. 0
c. 7/4
d. 7/2

Answer 1

d. $\frac{7}{2}$

• When we talk about the number line containing the real numbers, that is the real number line, there are numbers of the form  where p and q are non-zero integers. These numbers, that can be represented in the fraction format are called rational numbers.
• The fundamental concept of repeatedly adding the same number is represented by the process of multiplication. The results of multiplying two or more numbers are known as the product of those numbers, and the factors that are multiplied are referred to as the factors. Repeated addition of the same number is made easier by multiplying the numbers.
• There is no need to carry over smaller numbers to the next higher place value when multiplying two numbers without regrouping. Before moving on to higher level problems including regrouping, a learner can find the basic level helpful in understanding the fundamentals of multiplication.

Here, the rational numbers are given as,

$-\frac{5}{2}= -2.5$ and $\frac{7}{4}= 1.75$.

Now, all of -1.5, 0 and 1.75 lies between -2.5 and 1.75

Hence, option d is correct.

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