QuestionIdentify the number set for $-\sqrt{49}$ using N, W, Z, Q, or T.

Studdy Solution

STEP 1

Assumptions1. The given number is $-\sqrt{49}$ . . We are to determine the set or sets of numbers to which this real number belongs.
3. We are using the following symbols to represent different sets of numbers "" for Natural numbers, "W" for Whole numbers, "Z" for Integers, "Q" for Rational numbers, and "" for Irrational numbers.

STEP 2

First, we need to simplify the given number.
$-\sqrt{49}$

STEP 3

Calculate the square root of49 and then apply the negative sign.
$-\sqrt{49} = -7$

STEP 4

Now that we have the simplified number, we can determine which sets of numbers it belongs to.1. It is not a Natural number () because Natural numbers are positive integers starting from1.
2. It is not a Whole number (W) because Whole numbers are non-negative integers starting from0.
3. It is an Integer (Z) because it is a whole number that can be positive, negative, or zero.
4. It is a Rational number (Q) because it can be expressed as a fraction of two integers. . It is not an Irrational number () because it can be expressed as a fraction of two integers.
So, the number $-\sqrt{49}$ belongs to the sets Z and Q.

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