The mean of the numbers 2, 5, 2x and 7 is less than or equal to 5. Find the range of the values of x
Question 1 Report
The mean of the numbers 2, 5, 2x and 7 is less than or equal to 5. Find the range of the values of x
Answer Details
To find the range of values of x, we first need to find the mean of the numbers 2, 5, 2x, and 7, and then solve for x.
The mean of the four numbers is given by:
\[\frac{2 + 5 + 2x + 7}{4} = \frac{14 + 2x}{4} = \frac{7 + x}{2}\]
Since the mean is less than or equal to 5, we can write:
\[\frac{7 + x}{2} \leq 5\]
Multiplying both sides by 2, we get:
\[7 + x \leq 10\]
Subtracting 7 from both sides, we get:
\[x \leq 3\]
Therefore, the range of values of x that satisfy the condition is:
\[x \leq 3\]
So the answer is: x ≤ 3.
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