To solve the inequality \( x > \) and \( x < |–0.6| \), we first simplify the right side of the inequality.
The absolute value of \( -0.6 \) is:
\[ |–0.6| = 0.6 \]
So the inequalities can be rewritten as:
\[ x > \text{(unknown value)} \quad \text{and} \quad x < 0.6 \]
However, you have not provided the left-hand side of the inequality (the \( x > \) part). Without that value, we can't determine a specific range for \( x \).
Assuming the left side (let's say it's \( x > -1 \) just for the sake of reasoning):
Thus, under the hypothetical assumption \( x > -1 \) and \( x < 0.6 \), we will evaluate the options:
A. \( -0.9 \): This is greater than \( -1 \) and less than \( 0.6 \). This could be a possible value.
B. \( 0.65 \): This is not less than \( 0.6 \), so it cannot be a possible value.
C. \( -1/5 \): This is greater than \( -1 \) and less than \( 0.6 \). This could also be a possible value.
D. \( 3/4 \): This is not less than \( 0.6 \), so it cannot be a possible value.
So if we stick by our assumption, both A (-0.9) and C (-1/5) could be acceptable values for \( x \).
However, without the actual left side of the inequality, the exact set of possible values for \( x \) cannot be definitively stated.
If you provide the value for \( x > \), I can give you a specific answer on which choices are applicable for \( x \).