The number of points, having both co-ordinates as integers, that lie in the interior of the triangle with vertices (0, 0), (0, 41) and (41, 0), is :
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Find all integers x
for which (5x−1)<(x+1)2<(7x−3)˙
To receive Grade A in a course, one must obtain an average of 90 marks or more in five examinations (each of 100 marks). If Sunitas marks in first four examinations are 87,92,94 and 95, find minimum marks that Sunita must obtain in the fifth examination to get grade A in the course.
A solution of 8% boric acid is to be diluted by adding a 2% boric acid solution to it. The resulting mixture is to be more than 4% but less than 6% boric acid. If we have 640 litres of the 8% solution, how many litres of the 2% solution will have to be added?
Solve the system of inequalities graphically:
Solve the following inequalities graphically in two-dimensional plane:y+8 ≥2x
Represent the solution of each of the following inequations on the real number line:(2x+5)/3>3x−3
Solve the inequalities7<2(3x+11)≤11