Answer :
To solve the problem, we need to find all the integer values of [tex]\( x \)[/tex] that satisfy the condition [tex]\(-7 \leq x \leq -5\)[/tex].
1. Understanding the Range: The problem is asking for numbers that are greater than or equal to [tex]\(-7\)[/tex] and less than or equal to [tex]\(-5\)[/tex]. This means we are looking for all integers that fall within and including these two values.
2. Listing the Integers: We start at the smallest integer in the range, [tex]\(-7\)[/tex], and count up one by one until we reach the largest integer in the range, [tex]\(-5\)[/tex]. Therefore, the integers are:
- [tex]\(-7\)[/tex]
- [tex]\(-6\)[/tex]
- [tex]\(-5\)[/tex]
3. Listing the Integer Set: The integers [tex]\(-7, -6,\)[/tex] and [tex]\(-5\)[/tex] are all within the specified range. Therefore, the set of integers that satisfy the condition [tex]\(-7 \leq x \leq -5\)[/tex] is [tex]\(\{-7, -6, -5\}\)[/tex].
So, the solution to the problem is [tex]\(\{-7, -6, -5\}\)[/tex].
1. Understanding the Range: The problem is asking for numbers that are greater than or equal to [tex]\(-7\)[/tex] and less than or equal to [tex]\(-5\)[/tex]. This means we are looking for all integers that fall within and including these two values.
2. Listing the Integers: We start at the smallest integer in the range, [tex]\(-7\)[/tex], and count up one by one until we reach the largest integer in the range, [tex]\(-5\)[/tex]. Therefore, the integers are:
- [tex]\(-7\)[/tex]
- [tex]\(-6\)[/tex]
- [tex]\(-5\)[/tex]
3. Listing the Integer Set: The integers [tex]\(-7, -6,\)[/tex] and [tex]\(-5\)[/tex] are all within the specified range. Therefore, the set of integers that satisfy the condition [tex]\(-7 \leq x \leq -5\)[/tex] is [tex]\(\{-7, -6, -5\}\)[/tex].
So, the solution to the problem is [tex]\(\{-7, -6, -5\}\)[/tex].
