Vidaara.orgClass 10 · Mathematics
CodeVID-M10-19-SOL-01
Solution of Linear Inequations — Assignment
Name: ____________________
Roll No.: __________
Date: ____________
General Instructions
- All questions are compulsory.
- Section A carries 1 mark each, Section B 2 marks, Section C 3 marks and Section D 5 marks.
- Show all working for Sections B, C and D. Only final answers are given at the end — for full solutions, raise your doubts with your teacher.
Section A — Multiple Choice Questions
5 × 1 = 5 marks
1.
Multiplying an inequation by a negative number:
- A.keeps the sign
- B.reverses the sign
- C.makes it $=$
- D.removes it
2.
The solution of $2x>6$ is:
- A.$x>3$
- B.$x<3$
- C.$x>6$
- D.$x\ge3$
3.
The set from which solutions are chosen is the:
- A.solution set
- B.replacement set
- C.null set
- D.universal set
4.
The solution of $x+4\le9$ is:
- A.$x\le5$
- B.$x\ge5$
- C.$x\le13$
- D.$x<5$
5.
If $x\in\mathbb{N}$ and $x<4$, the solution set is:
- A.$\{1,2,3\}$
- B.$\{0,1,2,3\}$
- C.$\{1,2,3,4\}$
- D.$\{0,1,2\}$
Section B — Short Answer (2 marks)
4 × 2 = 8 marks
6.
Solve $3x\le12$ for $x\in\mathbb{R}$.
7.
Solve $-2x<8$.
8.
Solve $x-3>0$.
9.
Solve $2x+1\ge7$.
Section C — Short Answer (3 marks)
4 × 3 = 12 marks
10.
Solve $3x-2<7$ for $x\in\mathbb{N}$ and list the solution set.
11.
Solve $5-2x\ge1$.
12.
Solve $-3<2x-1\le5$ for $x\in\mathbb{Z}$ and list the solution set.
13.
Solve $\dfrac{x}{2}+1<4$.
Section D — Long Answer (5 marks)
2 × 5 = 10 marks
14.
Solve $-2\le\dfrac{x-3}{2}<2$ for $x\in\mathbb{R}$.
15.
Solve $1\le 2x-3\le 9$ for $x\in\mathbb{R}$ and write the solution set.
Answer Key
Section A — Multiple Choice Questions
- (B) reverses the sign
- (A) $x>3$
- (B) replacement set
- (A) $x\le5$
- (A) $\{1,2,3\}$
Section B — Short Answer (2 marks)
- $x\le4$.
- $x>-4$.
- $x>3$.
- $x\ge3$.
Section C — Short Answer (3 marks)
- $\{1,2\}$.
- $x\le2$.
- $\{0,1,2,3\}$.
- $x<6$.
Section D — Long Answer (5 marks)
- $-1\le x<7$.
- $2\le x\le6$.
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