Answer:
x = 1.5
Step-by-step explanation:
Given
![\frac{x}{2} \geq 0.75](https://tex.z-dn.net/?f=%5Cfrac%7Bx%7D%7B2%7D%20%5Cgeq%200.75)
![\frac{x}{2} < 2.5](https://tex.z-dn.net/?f=%5Cfrac%7Bx%7D%7B2%7D%20%3C%202.5)
Required
Find the value of x.
First, the inequalities need to be rewritten and merged;
if
, then
![0.75 \leq \frac{x}{2}](https://tex.z-dn.net/?f=0.75%20%5Cleq%20%5Cfrac%7Bx%7D%7B2%7D)
Multiply both sides by 2
![2 * 0.75 \leq \frac{x}{2} * 2](https://tex.z-dn.net/?f=2%20%2A%200.75%20%5Cleq%20%5Cfrac%7Bx%7D%7B2%7D%20%2A%202)
![1.5 \leq x](https://tex.z-dn.net/?f=1.5%20%5Cleq%20x)
Similarly;
![\frac{x}{2} < 2.5](https://tex.z-dn.net/?f=%5Cfrac%7Bx%7D%7B2%7D%20%3C%202.5)
Multiply both sides by 2
![2 * \frac{x}{2} < 2.5 * 2](https://tex.z-dn.net/?f=2%20%2A%20%5Cfrac%7Bx%7D%7B2%7D%20%3C%202.5%20%2A%202)
![x < 5](https://tex.z-dn.net/?f=x%20%3C%205)
Merging these results together; to give
![1.5 \leq x < 5](https://tex.z-dn.net/?f=1.5%20%5Cleq%20x%20%3C%205)
This means that the range of values of x is from 1.5 to 4.9999....
From the question, x is the smallest rational number; from the range above (
), the minimum value of x is 1.5 and 1.5 is a rational number;
Hence, x = 1.5
Ratio with two equivalent measurements would be 1
Answer:
x=3
Step-by-step explanation:
8*3 = 24
4*3=12
24-12=12
X^2 = 81...take the square root of both sides, eliminating the ^2
x = (+-) sqrt 81
x = (+-) 9
answers are : -9 and 9