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What is the solution set for -1<-2f+1<9? Please show work and chose a b c and d

What Is The Solution Set For 1lt2f1lt9 Please Show Work And Chose A B C And D class=

Sagot :

The solution set is 1 ≥ f ≥ -4, and the correct number line is the one in option A.

How to find the solution set?

Here we have the inequality:

-1 ≤ -2f + 1 ≤ 9

To solve this, we need to isolate the "f" on the middle.

First, we can subtract 1 in both sides to get:

-2  ≤ -2f ≤ 8

Now we need to divide both sides by -2, remember that this will change the direction of the symbols:

-2/-2 ≥ f ≥ 8/-2

1 ≥ f ≥ -4

So we need to have a line that starts at -4 and ends at 1, the correct option is number line A.

If you want to learn more about inequalities:

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