in which of the given set of numbers are alll the umber solutions of 4x+7=23?
The given set of numbers is:
-5, 1, 4, 6, 7
The only number that is a solution of 4x + 7 = 23 is x = 4. So, the set {4} is the set where all the numbers are solutions of 4x + 7 = 23.
3467
2356
1234
4567
Looking at the given set of numbers:
3467, 2356, 1234, 4567
Let's check if all the numbers satisfy the equation 4x + 7 = 23.
1. For 3467:
4(3) + 7 = 12 + 7 = 19 (not equal to 23)
So, 3467 is not a solution.
2. For 2356:
4(2) + 7 = 8 + 7 = 15 (not equal to 23)
So, 2356 is not a solution.
3. For 1234:
4(1) + 7 = 4 + 7 = 11 (not equal to 23)
So, 1234 is not a solution.
4. For 4567:
4(4) + 7 = 16 + 7 = 23 (equal to 23)
So, 4567 is a solution.
Therefore, in the given set of numbers, only 4567 is a solution of the equation 4x + 7 = 23.