Answer:
C) ½
Step-by-step explanation:
In the given inequality statement: 2/5 < x < ¾
It means that, "x is less than ¾ and greater than 2/5."
Find out what the equivalent decimal values of each expression.
2/5 < x < ¾:
2/5 = 0.40
¾ = 0.75
Therefore, the value of x must be between 0.40 and 0.75.
A: 3/10 = 0.30 (not a solution for x).
B: 1/3 = 0.33 (not a value for x).
C: 1/2 = 0.50 (possible value for x)
D) 4/5 = 0.80 (not a value for x).
E) 5/6 = 0.83 (not a value for x).
As you can see, the only viable solution for x is ½, as it provides a true inequality statement: 2/5 < ½ < ¾
Therefore, the correct answer is C: ½
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