Question

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Answer 1

In order to find out which point is the solution of the given Equation : Let us Assume that Every given option satisfies the Equation.

Now, Let us Check whether Each Point really Satisfies the given Equation. We can do this by Substituting Each Point in the Equation and check whether the final result obeys the Inequality of the Equation.

Option (A) - (2 , 4)

⇒ 2 + 2(4) ≤ 4

⇒ 2 + 8 ≤ 4

⇒ 10 ≤ 4

As 10 is not Less than or Equal to 4, This Point does not Satisfy the Equation. Hence it is not a Solution of the Equation

Option (B) - (1 , 1)

⇒ 1 + 2(1) ≤ 4

⇒ 1 + 2 ≤ 4

⇒ 3 ≤ 4

As 3 is Less than 4, This Point Satisfies the Equation. Hence it is a Solution of the Equation.

Option (C) - (3 , 5)

⇒ 3 + 2(5) ≤ 4

⇒ 3 + 10 ≤ 4

⇒ 13 ≤ 4

As 13 is not Less than or Equal to 4, This Point does not Satisfy the Equation. Hence it is not a Solution of the Equation.

Option (D) - (-1 , 5)

⇒ -1 + 2(5) ≤ 4

⇒ -1 + 10 ≤ 4

⇒ 9 ≤ 4

As 9 is not Less than or Equal to 4, This Point does not Satisfy the Equation. Hence it is not a Solution of the Equation.

We can Notice that : Only (1 , 1) satisfies the Given Equation. Hence Option (B) is the Solution of the Given Equation.

Answer 2

Answer: Option B -> (1,1)

Step-by-step explanation:

Well, let’s just substitute the coordinates in each case and see.

1) (2,4)

LHS = 2 + 2(4) = 10

10 is greater than 4.

2) (1,1)

LHS = 1 + 2(1) = 3

3 is lesser than 4.

3) (3,5)

LHS = 3 + 2(5) = 13

13 is not lesser than 4.

4) (-1,5)

LHS = (-1) + 2(5) = 9

9 is not lesser than 4 either.

Hence, only the second option satisfies the given inequality.

Hope this helps ya ✌️