Linear Inequations MATHS - Linear Inequations

Write the solution set of x satisfying the inequation (x² - 2x + 1) (x - 4) > 0.

Solve the following system of equations in R.
3x - 6 > 0, 2x - 5 > 0

Solve the following linear inequations in R:
-(x - 3) + 4 < 5 - 2x

Solve the following system of equations in R.
x - 2 > 0, 3x < 18

Solve the following system of equations in R.

2x - 3 < 7, 2x > -4

The water acidity in a pool is considered normal when the average pH reading of three daily measurements is between 7.2 and 7.8. If the first two pH reading are 7.48 and 7.85, find the range of pH value for the third reading that will result in the acidity level being normal.

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 there are 640 litres of the 8% solution, how many litres of 2% solution will have to be added?

Find all pairs of consecutive odd positive integers, both of which are smaller than 10, such that their sum is more than 11.

Find all pairs of consecutive odd natural number, both of which are larger than 10, such that their sum is less than 40.

How many litres of water will have to be added to 1125 litres of the 45% solution of acid so that the resulting mixture will contain more than 25% but less than 30% acid content?

To receive grade 'A' in a course, one must obtain an average of 90 marks or more in five papers each of 100 marks. If Shikha scored 87, 95, 92 and 94 marks in first four paper, find the minimum marks that she must score in the last paper to get grade 'A' in the course.