Worksheets › Class 11 › Linear Inequalities
Class 11 Linear Inequalities worksheet
CBSE Mathematics. Solving inequalities, intervals, systems, word problems. Every sheet has 20 questions in three sections and an answer key, and the numbers change every time.
Sample questions
Real questions from this chapter, as the app sets them. Tap Answer to see the answer and working.
Section A · multiple choice
- 1.
The solution of −6x − 2 < 1 is:
- x > −1/2
- x > 1/2
- x > 1/6
- x < −1/2
Answer
(a) x > −1/2
−6x < 3; dividing by a negative number reverses the sign
- 2.
The solution of 0 ≤ 6x + 8 < 17 is:
- −8 ≤ x < 9
- 4/3 ≤ x < 25/6
- −4/3 ≤ x < 3/2
- −4/3 < x ≤ 3/2
Answer
(c) −4/3 ≤ x < 3/2
subtract 8, then divide by 6
- 3.
How many integers x satisfy −12 ≤ 2x + 2 < 2?
- 9
- 8
- 6
- 7
Answer
(d) 7
−7 ≤ x < 0
Section B · short answer
- 4.
Solve: x/6 − 5 ≥ x/5 − 0.
Answer
x ≤ −150
multiply by 30: x(1/6 − 1/5) ≥ 5; the coefficient is negative, so the sign reverses
- 5.
Solve 3 < 9 − 6x ≤ 12.
Answer
−1/2 ≤ x < 1
subtract 9, then divide by −6 and reverse both signs
Section C · long answer
- 6.
A solution of 2,970 litres contains 60% acid. How many litres of water must be added so that the acid content is between 30% and 45%?
Answer
Between 990 and 2,970 litres
30 ≤ 60 × 2970 ÷ (2970 + x) ≤ 45
Fresh sheets for your child
In the app, every Linear Inequalities sheet is new: the app remembers the questions your child has already had and leaves them out. Print the sheet as a PDF, or use notebook mode and write the answers in a notebook.
Coming soon for Android and iPhone.