If x - 5 > 2 and x + 3 < 7, the value of x must be between which of the following pairs of numbers?
If x - 5 > 2 and x + 3 < 7, the value of x must be between which of the following pairs of numbers?
Answer/Solution
3 and 4
Steps/Work
Let’s isolate x in each inequality.
x - 5 > 2
x > 3
Next we simplify x +3 < 7.
x +3 < 7
x < 4
We know that x is greater than 3 and less than 4.
The answer is D.
x - 5 > 2
x > 3
Next we simplify x +3 < 7.
x +3 < 7
x < 4
We know that x is greater than 3 and less than 4.
The answer is D.