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How do you solve this equation #2x -1 > 4 - 1/2x#?

Answer 1

Hazel Anglin

See below

#2x-1>4-1/2x#

#2x+1/2x>4+1#

#5/2x>5#

#x>10/5=2#

The solution are all x bigger than 2

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Answer 2

Eli Assouline

To solve the equation 2x - 1 > 4 - 1/2x, follow these steps:

Add 1/2x to both sides of the equation to isolate the x terms on one side.
Add 1 to both sides of the equation to isolate the constant terms on the other side.
Combine like terms.
Divide both sides by the coefficient of x to solve for x.
Check if the solution is valid by substituting it back into the original inequality to ensure it satisfies the inequality.

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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.

How do you solve this equation #2x -1 &gt; 4 - 1/2x#?

How do you solve this equation #2x -1 > 4 - 1/2x#?