Question

Solution set of the inequality 3≥x is: *

Answer 1

Answer:

Given, ∣x∣+∣x−3∣>3

For x<0 , we have −x+3−x>3 , which implies x<0

For 0<x<3 , we have x+3−x>3 , which implies 3>3 (false)

For x>3 , we have x+x−3>3 , which implies x>3

Therefore, the values of x are x>3 and x<0.

Step-by-step explanation:

Given, ∣x∣+∣x−3∣>3

For x<0 , we have −x+3−x>3 , which implies x<0

For 0<x<3 , we have x+3−x>3 , which implies 3>3 (false)

For x>3 , we have x+x−3>3 , which implies x>3

Therefore, the values of x are x>3 and x<0.

Answer 2

Concept Introduction:-

It may be in the form of a word, a symbol, or a figure that reflects the arithmetic value of a quantity.

Explanation:-

A question has been provided to us

We need to find the solution to the question

Solution set of the inequality $3$≥$x$ is:  $3$≥$x$≤∞. It is because the number is more than equal to $3$ and its infinity because as there is no upper limit.

Final Answer:-

The correct answer is  $3$≥$x$≤∞.

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