Solve the inequality/solve for x:

If is real, then will always be non-negative, so the sign of the numerator will determine the solution to the inequality. In order for the expression on the left hand side to be defined, we require

We have

so there are three intervals we need to check.

(1) We pick a value of from , say . This gives the numerator a value of .

(2) From , we can pick and we get .

(3) From , we can pick and get . But remember, we can't let .

So the solution to the inequality is the union of the two intervals that we showed would make the numerator positive, while still avoiding making the expression undefined:

step-by-step explanation:

(0,,,0)

step-by-step explanation:

the table of x and y values is shown in the attached pic(part of question)

we have to decide according that graph

given points are (0, 0) (–1, 0), (2, 0)

when we graph these points on graph they show an increasing line as shown in the attached pic