Question

The inequality 5(x - 2) + 7 = 37 will be true when (1) x = 8 (3) X = 11 (2) x = 9 (4) x = 15​

Answer 1

Answer:

x=8

Step-by-step explanation:

5(x-2)+7= 37

5x-10+7= 37

5x-10= 30

5x = 40

x = 8

Answer 2

Answer :-

• Value of x is 8 .

Step-By-Step-Explanation :-

• This is from the chapter Sets .
• To solve this just solve this L.H.S. side and we would get the answer . So, Let's solve .

$\rm 1.) \:5(x-2)+7=37$

Now , Just Multiply the Bracket part ,

$\rm \implies 5x - 10+7=37$

Now , Just Bring 7 to R.H.S. So, 7 will become negative as going to opposite sides ,

$\rm \implies 5x - 10=37-7$

Just subtracting them ,

$\rm \implies 5x - 10=30$

Now , Just Bring 10 to R.H.S. So, 10 will now become Positive as it will come in opposite sides .

$\rm \implies 5x =30 + 10$

Now , just adding them we get

$\rm \implies 5x =40$

Now , finding x we get ,

$\rm \implies x =\dfrac{40}{5}$

Hence , we get

$\boxed{\rm \bf x = 8}\; \bigstar$

Hence ,  the inequality of 5(x - 2) +7 = 37 will be true only when option (1) x = 8  is the condition .

Final Answer :

The inequality 5(x - 2) + 7 = 37 will be true when ,

• x = 8
• x =11
• x = 9
• x = 15

$\rm Therefore\; , \;Value\;of\;x \;is\;\bf 8$ .

Formula :

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

1. n(A ∪ B) = n(A) +n(B) - n(A ∩ B) .
2. n(A - B) = n(A ∪ B) - n(B) = n(A) - n(A ∩ B) .
3. n(B - A) = n(A ∪ B) - n(A) = n(B) - n(A ∩ B) .
4. 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) .