et the marks scored by Rishi in the fourth paper be x.
Then
Multipling the inequality throughout by 4 ,we get
Let the length of the shortest piece be x cm.Then we have the length of the second and third pieces are x+3 and 2x centimeters respectively.
According to the question,
Hence the shortest piece may be atleast 8 cm long but it cannot be more than 22cm in length.
Let the consecutive odd natural numbers be x and x+2.
According to the question , x>10 and
Now
Hence the maximum value of x is 17 and minimum value is 11.
So the possible pairs of odd natural numbers are ( 11 , 13 ) , ( 13 , 15 ) , ( 15 , 17 ) , ( 17 , 19 )
Let x be the mark obtained by Rohit in the third test.
Then
Hence Rohit should get a minimum of 60 marks to get an average of atleast 65 marks.
According to the question
Since , we get
Hence the range of temperature in degree Fahrenheit is between and
Let the shortest side of a triangle be x cm.Then the length of the longest side is3x cm and the length of the third side is (3x-2) cm.
Given the perimeter of the triangles at least 61cm
Hence the minimum length of the shortest side = 9 cm
Given 0 -7
Multiplying throughout by -1,we get0 7 [ When both sides of an inequality are multiplied by a negative number ,then the sign of inequality is reversed]
Since x is an integer the solution set
Since x is an integer the solution set =
Hence the integer values which satisfy both the inequalities are