real number. Solve the inequalities in Exercises to for real x . . x + < x + .
– ( x + ) > x – ( x – ) . ( ) ( ) < . ( ) ( ) ( ≥ Solve the inequalities in Exercises to and show the graph of the solution in each case on number line . x – < x + .
x – > x – . ( – x ) < ( x + ) . ( – ) ( – ) – ≥ . Ravi obtained and marks in first two unit test.
Find the minimum marks he should get in the third test to have an average of at least marks. . To receive Grade ‘A’ in a course, one must obtain an average of marks or more in five examinations (each of marks). If Sunita’s marks in first four examinations are , , and , find minimum marks that Sunita must obtain in fifth examination to get grade ‘A’ in the course.
. Find all pairs of consecutive odd positive integers both of which are smaller than such that their sum is more than . . Find all pairs of consecutive even positive integers, both of which are larger than such that their sum is less than .
LINEAR INEQUALITIES Fig . Fig . . The longest side of a triangle is times the shortest side and the third side is cm shorter than the longest side.
If the perimeter of