Solution:
The Expression
P = 7 x + 4
Q = 3 x + 5 + 4 x -1
Adding like terms , i.e term containing variables and term containing constants
Q = 3 x + 4 x + 5 -1 [You must be thinking why i have written this, keep in mind Commutative law of addition which is , a + b = b + a, i.e in this expression , 5 + 4 x = 4 x + 5]
So, Q = 7 x + 4
As you can see both P and Q are identical Expressions.
Now we will check each and every option.
1. When x= 2,
P =Q= 7 × 2 + 4= 14 + 4= 18→→→→(True)
2. As for x=4,6
P = Q = 7 × 4 +4=28 + 4=32
P = Q= 7× 6 +4 = 42 +4=46
As , explained above, We saw that both the expressions P and Q are identical.
So , There are infinite values of x , for which these Expression P and Q are identical.
Statement 2 is not true i.e False.
3. Statement 3 , is false.→→→[Explained above]
4. True →→The expressions have equivalent values for any value of x.
5. False →→→The expressions should have been evaluated with one odd value and one even value.
6. False →→→As ,P =Q Both expressions are identical. [When x=0, the first expression has a value of 4 and the second expression has a value of 5.]
7. True, As, P = Q, so both the expression P and Q have same value for x=8.
Answer:
When x = 2, both expressions have a value of 18.
The expressions have equivalent values for any value of x.
The expressions have equivalent values if x = 8.
Step-by-step explanation:
