Class 10 Linear Inequations Mock Test (ICSE)

Topics in Linear Inequations

• Linear inequations in one variable
• Replacement set and solution set
• Solving inequations
• Representing the solution set on the number line

Linear Inequations practice questions with answers

1. Q1Multiple choice·1 mark
   If the solution set of an inequation is $-2 \le x < 3$, where $x \in \mathbb{R}$, how is it represented on a real number line?

   1. (a)A dark dot at $-2$, a hollow circle at $3$, and a thick line joining them.
   2. (b)Hollow circles at both $-2$ and $3$ with a thick line joining them.
   3. (c)Dark dots at both $-2$ and $3$ with a thick line joining them.
   4. (d)A hollow circle at $-2$, a dark dot at $3$, and a thick line joining them.
   Show answer and step marks

   1. Correct option: (a) A dark dot at $-2$, a hollow circle at $3$, and a thick line joining them.+1

   Answer: (a)
2. Q2Multiple choice·1 mark
   The solution set of $3x - 2 < 2x + 1$ for $x \in \mathbb{Z}$ is:

   1. (a)$\{x : x \ge 3, x \in \mathbb{Z}\}$
   2. (b)$\{x : x < 3, x \in \mathbb{Z}\}$
   3. (c)$\{x : x > 3, x \in \mathbb{Z}\}$
   4. (d)$\{x : x \le 3, x \in \mathbb{Z}\}$
   Show answer and step marks

   1. Correct option: (b)+1

   Answer: (b)
3. Q3Multiple choice·1 mark
   Which of the following is a linear inequation in one variable?

   1. (a)$x^2 - 3x + 2 > 0$
   2. (b)$3x - 5 < 7$
   3. (c)$\frac{1}{x} + 2 > 0$
   4. (d)$2x + 3y \le 5$
   Show answer and step marks

   1. Correct option: (b) $3x - 5 < 7$+1

   Answer: (b)
4. Q4Multiple choice·1 mark
   If the replacement set is the set of whole numbers $\mathbb{W}$, the solution set of the inequation $2x - 3 < 5$ is:

   1. (a)$\{0, 1, 2, 3\}$
   2. (b)$\{1, 2, 3\}$
   3. (c)$\{0, 1, 2, 3, 4\}$
   4. (d)$\{-1, 0, 1, 2, 3\}$
   Show answer and step marks

   1. Correct option: (a) $\{0, 1, 2, 3\}$+1

   Answer: (a)

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