3 years ago

Solve -28<2x-10<-10

1 answer:

5 0

-28 < 2x - 10 < -10.....add 10 to all sections
-28 + 10 < 2x - 10 + 10 < -10 + 10....simplify
-18 < 2x < 0...divide all sections by 2
-18/2 < 2/2x < 0/2...simplify
-9 < x < 0 <===

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Answer: The correct option is

(A) If F and G differ by a constant, then f = g.

Step-by-step explanation: According to the given condition, we have

$F'(x)=f(x)~~~\textup{and}~~~G'(x)=g(x).$

We are to select the correct statement.

Let F(x) = p(x) and G(x) = p(x) + c, c - constant.

Then, we get

$F'(x)=p'(x)~~~\textup{and}~~~G'(x)=p'(x).$

Therefore,

$F'(x)=G'(x)\\\\\Rightarrow f(x)=g(x)\\\\\Rightarrow f=g.$

Thus, if F and G differ by a constant, then f = g.

Option (A) is CORRECT.

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