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How do you solve #x+ \frac { 2} { 5} \geq 3#?

Answer 1

Isaiah Anthony

See a solution process below:

Subtract #color(red)(2/5)# from each side of the inequality to solve for #x# while keeping the inequality balanced:

#x + 2/5 - color(red)(2/5) >= 3 - color(red)(2/5)#

#x + 0 >= (3 * 5/5) - color(red)(2/5)#

#x >= 15/5 - color(red)(2/5)#

#x >= (15 - color(red)(2))/5#

#x >= 13/5#

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Answer 2

Genesis Allen

To solve (x + \frac{2}{5} \geq 3), first, subtract (\frac{2}{5}) from both sides to isolate (x). This gives (x \geq 3 - \frac{2}{5}). Then, subtract (\frac{2}{5}) from 3: (3 - \frac{2}{5} = \frac{15}{5} - \frac{2}{5} = \frac{13}{5}). So, the solution is (x \geq \frac{13}{5}).

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Answer from HIX Tutor

When evaluating a one-sided 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.