Which value of x makes the open sentence true?
26−x2> 4x−20
8

7

6

5

First of all, it might be convenient to rewrite the inequality as

Then, we can plug the proposed value to see which one satisfies the inequality: we want the expression to evaluate to a negative value.

x=8:

x=7

x=6

x=5

So, the only value that returns a negative value is x = 5.

square root of 36/6 = 2.449489743

square root of 16/6 = 1.632993162

square root of 6 = 2.449489743

the answer is square root of 16/6 because the square root of 36/6 is the same answer as square root of 6 = 2.449489743