Question

Carlie generates the table of values shown below in order to graph and solve the inequality 3^2x-1 < 27.


A 2-column table with 4 rows. Column 1 is labeled x with entries 0, 1, 2, 3. Column 2 is labeled y with entries one-third, 3, 27, 243.


What is the solution set for the exponential inequality?


(–∞, 2)

(2, ∞)

(–2, 2)

(–∞, 2) ∪ (2, ∞)

Answer 1

Answer:

answer is a

Step-by-step explanation:

Answer 2

The solution set for the exponential inequality is (- ∞, 2).

What is an inequality?

"An inequality is a relation which makes a non-equal comparison between two numbers or other mathematical expressions."

The given inequality is

$3^{2x - 1}$ < 27

⇒ $3^{2x}/3$ < 3³

⇒ $3^{2x}$ < 3³ × 3

⇒  $3^{2x}$ < $3^{4}$

⇒ 2x < 4

⇒ x < 2

Therefore, the solution is (- ∞, 2).

Learn more about inequality here: https://brainly.com/question/20380717

#SPJ3