Linear Inequalities Worksheet for Grade 11 :
Here, we are going to see some practice questions on linear inequalities worksheet for 11th grade.
1) Represent the following inequalities in the interval notation:
(i) x ≥ −1 and x < 4 (ii) x ≤ 5 and x ≥ −3
(iii) x < −1 or x < 3 (iv) −2x > 0 or 3x − 4 < 11. Solution
2) Solve 23x < 100 when
(i) x is a natural number, (ii) x is an integer. Solution
3) Solve −2x ≥ 9 when
(i) x is a real number, (ii) x is an integer, (iii) x is a natural number. Solution
5) To secure A grade one must obtain an average of 90 marks or more in 5 subjects each of maximum 100 marks. If one scored 84, 87, 95, 91 in first four subjects, what is the minimum mark one scored in the fifth subject to get A grade in the course? Solution
6) A manufacturer has 600 litres of a 12 percent solution of acid. How many litres of a 30 percent acid solution must be added to it so that the acid content in the resulting mixture will be more than 15 percent but less than 18 percent? Solution
7) Find all pairs of consecutive odd natural numbers both of which are larger than 10 and their sum is less than 40.
8) A model rocket is launched from the ground. The height h reached by the rocket after t seconds from lift off is given by h(t) = −5t2 + 100t, 0 ≤ t ≤ 20. At what time the rocket is 495 feet above the ground?
9) A plumber can be paid according to the following schemes: In the first scheme he will be paid rupees 500 plus rupees 70 per hour, and in the second scheme he will paid rupees 120 per hour. If he works x hours, then for what value of x does the first scheme give better wages?
10) A and B are working on similar jobs but their annual salaries differ by more than Rs 6000. If B earns rupees 27000 per month, then what are the possibilities of A’s salary per month?
We hope that the stuff given in this section would have been much useful for 11th grade students.
Apart from the stuff given in this section, if you need any other stuff in math, please use our google custom search here.
You can also visit our following web pages on different stuff in math.
APTITUDE TESTS ONLINE
ACT MATH ONLINE TEST
TRANSFORMATIONS OF FUNCTIONS
ORDER OF OPERATIONS
Customary units worksheet
Integers and absolute value worksheets
Nature of the roots of a quadratic equation worksheets
Point of intersection
Area of triangle
MATH FOR KIDS
Word problems on linear equations
Trigonometry word problems
Word problems on mixed fractrions
Converting repeating decimals in to fractions