Solve 3x + 8> 2, when x is an integer.

Solve \(|x-1|\le 2\).

In the first four papers each of 100 marks, Rahul got 95, 72, 73 and 83 marks. If he wants an average of greater than 75 marks and less than 80 marks. Find the range of marks he should score in the fifth paper.

Anushu obtained 73, 67, 72 marks in the Mathematics test. How many should he get in his fourth test, so as to have an average of at least 75?

Solve 3x + 8 > 2 when
(i) x is integer
(ii) x is a real number

Solve the following linear in equations 7x +9 > 30

Solve the inequalities:\(\frac { 2x+3 }{ 5 } -2<\frac { 3(x-2) }{ 5 } \)

Solve 24x < 100, when x is an integer.

Solve the inqualities - 3 \(\le \) 4 - \(\frac { 7x }{ 2 } \) \(\le \) 18.

Solve the following inequations: \(\frac { 2x-3 }{ 4 } +19\ge 13+\frac { 4x }{ 3 } \)

Find the pairs of consecutive even positive integers which are larger than 5and are such that their sum is less than 20

In an experiment, a solution of hydroelectric acids is to be kept between 30^oC and 35^oC. What is the range of temperature in degree Fahrenheit, if conversion formula is given by F = \(\frac { 9 }{ 5 } \) C + 32, where C and F represent temperature in degree Celsius and degree Fahrenheit, respectively.

A solution is to be kept between 68⁰ F and 77⁰F. What is the range of temperature in degree Celsius (C), if the Celsius/Fahrenheit (F) conversion formula is given by F=\(\frac { 9 }{ 5 } C+32?\)

Find the linear inequalities for which the shaded region in given figure is a solution set.

Solve graphically \(4x+3y\ge 12\quad and\quad 4x-5y\ge -20\)

Solve for \(x:\frac { x-3 }{ x-5 } >0\)

Draw the graph of the inequality \(y+8\ge 2x.\)

Solve the inequalities graphically: 2x +y \(\ge\) 6, 3x +4y \(\le\)12

Solve the inequalities graphically 3x +4y \(\le\) 60, x +3y \(\le\) 30, x \(\ge\)0, y \(\ge\) 0

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?