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7 votes
7 votes
Which inequality is true when n = 4.3?

A) 3n < 12. 9


B) 5n > 21. 7


C) 26. 66 ≤ 6. 2n


D). 31 ≥ 7. 4n​

User Xijo
by
2.7k points

2 Answers

20 votes
20 votes

Answer: Choice C

26.66 ≤ 6. 2n

=============================================

Step-by-step explanation:

Let's replace n with 4.3 in choice A

3n < 12.9

3*4.3 < 12.9

12.9 < 12.9

The last inequality mentioned is false. No number is smaller than itself. So the original inequality is false when n = 4.3

We can rule out choice A.

--------------------

Let's try choice B

5n > 21.7

5*4.3 > 21.7

21.5 > 21.7

This is false as well. You can think of it like saying 215 > 217 is false.

We can rule out choice B.

--------------------

Now onto choice C

26.66 ≤ 6.2n

26.66 ≤ 6.2*4.3

26.66 ≤ 26.66

This is true. The "or equal to" portion is the reason why. Without this, then we'd have a repeat scenario of choice A earlier.

This is why choice C is the final answer.

----------------------

We could stop since we found the answer by now. However, for the sake of completeness, let's look at choice D.

31 ≥ 7. 4n​

31 ≥ 7. 4*4.3

31 ≥ 31.82

which is false because it should be the other way around and it should be 31 ≤ 31.82 or at the very least 31 < 31.82

We can rule out choice D as well.

User Pizzamonster
by
2.8k points
13 votes
13 votes

Answer:

C

Step-by-step explanation:


(6.2)(4.3) = 26.66, so
26.66 \leq 6.2n is true.

User Danamarie
by
2.7k points