How do you solve #\frac{3x}{8} + 4\leq 0.2x + 5#?
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To solve the inequality ( \frac{3x}{8} + 4 \leq 0.2x + 5 ), we can follow these steps:

Subtract 4 from both sides to isolate the term with ( x ) on the left side: [ \frac{3x}{8} \leq 0.2x + 1 ]

Subtract ( 0.2x ) from both sides to isolate the term with ( x ) on the right side: [ \frac{3x}{8}  0.2x \leq 1 ]

Combine the terms with ( x ) on the left side: [ \frac{3x  0.2x}{8} \leq 1 ]

Simplify the expression: [ \frac{2.8x}{8} \leq 1 ]

Multiply both sides of the inequality by 8 to eliminate the fraction: [ 2.8x \leq 8 ]

Divide both sides by 2.8 to solve for ( x ): [ x \leq \frac{8}{2.8} ]

Calculate the value: [ x \leq 2.857 ]
So, the solution to the inequality is ( x \leq 2.857 ).
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When evaluating a onesided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.
When evaluating a onesided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.
When evaluating a onesided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.
When evaluating a onesided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.
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