Question

How many integers n are there such that 1 < 5n + 5 < 25 ?

Answer 1

Answer:

there are 4 value of n to satisfy the condition

Step-by-step explanation:

5n+5<25

5n<25-5

5n<20

n<4

1<5n+5

-4<5n

n>-4/5

therefore value of n can be 0, 1, 2 or 3

HOPE IT HELPS U !!

Answer 2

There are 4 such integers n such that 1 < 5n + 5 < 25.

Given: 1 < 5n + 5 < 25  

To find: Number of integers n

Solution:

We are given

1 < 5n + 5 < 25

Subtracting 5 from each term of the inequality, we get

1 - 5 < 5n + 5 - 5 < 25 - 5

-4 < 5n < 20

Now, we have the following 2 inequalities:

i. -4 < 5n ⇒ -4/5 < n

ii. 5n < 20 ⇒ n < 4

Hence, n > -4/5 and n < 4

⇒ Integer values of n that satisfies equation = 0, 1, 2 and 3

⇒ number of such integers = 4

∴ There are 4 such integers.

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