To solve the inequality \(1.4(d - 2) - 0.2d \leq 3.2\), we start by simplifying the left side.
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Distribute \(1.4\) to \((d - 2)\):
\[ 1.4d - 2.8 - 0.2d \leq 3.2 \]
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Combine like terms \(1.4d - 0.2d\):
\[ (1.4 - 0.2)d - 2.8 \leq 3.2 \] \[ 1.2d - 2.8 \leq 3.2 \]
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Add \(2.8\) to both sides:
\[ 1.2d \leq 3.2 + 2.8 \] \[ 1.2d \leq 6 \]
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Divide both sides by \(1.2\):
\[ d \leq \frac{6}{1.2} \]
Calculate \(\frac{6}{1.2}\):
\[ \frac{6}{1.2} = 5 \]
So we find that:
\[ d \leq 5 \]
The solution set of the inequality is all numbers \(d\) such that \(d\) is less than or equal to 5.
Now you can select all numbers that are less than or equal to 5 from the options provided. If you have specific numbers in mind, please list them, and I can tell you if they are part of the solution set.
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