Question

For what interval is the value (x-3)-(-0.5x)

Answer 1

The interval is the value (-∞,2)

We have given that,

f(x)=x-3

g(x)= - 0.5x

What interval is the value of (f-g)(x) negative?

First, calculate the (f-g)(x)

Since  f(x)=x-3

g(x)= - 0.5x

So, (f-g)(x) = x-3-(- 0.5x)

⇒(f-g)(x) = x-3+ 0.5x

⇒(f-g)(x)

=1.5x-3

Now we are supposed to find the interval for which (f-g)(x) is negative.

So, (f-g)(x) =1.5x-3 <0

⇒1.5x<3

$x < \frac{3}{1.5} \\x < 2$

Thus for (f-g)(x), negative x must be less than 2

Thus the interval is(-∞,2)

Hence option B is correct.

To learn more about the interval visit:

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