Question

N is an integer write the values of n such that -15 <3n ≤ 6

Answer 1

n =  { -4 , -3 , - 2 , - 1 , 0  , 1 , 2  } if  n is an integer such that -15 <3n ≤ 6

Given:

-15 <3n ≤ 6

n is an integer

To Find:

Values of n satisfing the inequalities

Solution:

-15 <3n ≤ 6

Step 1:

Divide each sides by 3

-5 < n ≤ 2

Step 2:

Note Down all the intgeres satisfying -5 < n ≤ 2

-4 , - 3 , - 2 , - 1, 0 , 1 , 2

Hence , n =  { -4 , -3 , - 2 , - 1 , 0  , 1 , 2  }

n =  { -4 , -3 , - 2 , - 1 , 0  , 1 , 2  } if  n is an integer such that -15 <3n ≤ 6