Question

Given the inequality 4x – 16 > 36, which number is not a solution of the set? (1) 15 (3) 14 (2) 20 (4) 13​

Answer 1

Answer:

1) 15 is not a solution of the equation.

Explanation:

let x be 15

4(15) - 16 > 36

60 - 16 > 36

24 > 36

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Answer 2

★Answer :-

• $\rm{\bf x > 13 } \;That\;is\;equals\;to\;{\bf13}\;is\;the\;ans .$  

★Step-By-Step-Explanation :-

So , let's find out solution :-

$\rm 4x-16>36$

Now , see we will have to move - 16 to R.H.S. and thus will become + 16 . So , Let's do it :-

$\longrightarrow\rm 4x>36+16$

Now , Just adding them up , we get

$\longrightarrow\rm 4x>52$

Now , let the x be remained in L.H.S. only and just bring 4 here and divide it with as because in this side they are multiplied .

$\longrightarrow\rm x>\dfrac{52}{4}$

And , finally hence x becomes ,

$\boxed{\rm The \;x\;becomes\;\bf x>13 }$

★Final Answer :-

Given the inequality 4x – 16 > 36, which number is not a solution of the set?

• 15 .
• 20 .
• 14 .
• 13 .

Hence , 13 is the solution of the given Inequality .

★Additional Information :-

• If it was said that x belongs to Whole numbers (W) , Natural numbers (N) , Integers (I) , Positive integer (Z+ or I+) and Negative integer (Z- or I-) we could have found the x belong to part but as it isn't mentioned here , we no need to find it out .
• Some formulas are given below which are also needed to solve Equality in sets only .

★Formula :

• $\rm If \;A\;and\;B\;are\;two\;sets,\;then$

• n(A ∪ B) = n(A) +n(B) - n(A ∩ B) .
• n(A - B) = n(A ∪ B) - n(B) = n(A) - n(A ∩ B) .
• n(B - A) = n(A ∪ B) - n(A) = n(B) - n(A ∩ B) .
• n(A ∪ B) = n(A - B) + n(B - A) + n(A ∩ B) .
• If ξ (Universal set) is finite set and A is any set , then n(A) + n(A') = n(ξ) .

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