Question

A. {0,1,2,3,4} B. {1,2,3,4} C. {-1,0,1,2,3} D. {-2,-1,0,1,2,3,4}

Answer 1

Option D:

The set is {-2, -1, 0, 1, 2, 3, 4}.

Solution:

Given set:

$\{x \in Z:-2 \leq x \leq 4\}$

Z means integer values.

Integer means set of positive and negative values including zero.

$-2 \leq x \leq 4$

This means x lies between -2 and 4.

• If x strictly less than -2 and greater than 4 means you don't have to include -2 and 4.
• But here x less than or equal to -2 and greater than or equal to 4, so you have to include -2 and 4.

The integers are -2, -1, 0, 1, 2, 3 and 4.

So, x belongs to the set {-2, -1, 0, 1, 2, 3, 4}

Hence the given set is defined by the set  {-2, -1, 0, 1, 2, 3, 4}.

Option D is the correct answer.