Question

If X€{-3,-1,0,1,3,5}, then the solution set of 3x-2 less than equal to 8 is

Answer 1

Hope it helps u!!!!!!!!!!!!!

Answer 2

Answer:

{-3,-1,0,1,3}

Step-by-step explanation:

Concept= Inequality

Given= The set and an inequality

To Find= The solution set of inequality

Explanation=

We have been given to find the solution set of an inequality which belongs to a set X.

The set X has elements as -3,-1,0,1,3,5

Therefore X={-3,-1,0,1,3,5}

The given inequality is 3x - 2 ≤ 8 , ∀ x ∈ X

Here in this expression "∀ x ∈ X" means that for all values of x which will be obtained after solution it will belong to the set X.

Solving inequality now,

3x - 2 ≤ 8

adding 2 both sides

3x - 2 + 2 ≤ 8 + 2

3x ≤ 10

Dividing both sides by 3

3x/3 ≤ 10/3

x≤10/3

Now 10/3 will give us the value of 3.33

In the set X= {-3,-1,0,1,3,5}, the value less than 3.33 are -3,-1,0,1,3. here 5 will not be there because the inequality holds for value less than or equal and 5 is greater than the solution.

So the solution set of x={-3,-1,0,1,3}.

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