Class 11 Math - Linear Inequalities - MERIT YARD
Class 11 Math - Linear Inequalities - MERIT YARD
1 / 40Two real numbers or algebraic expressions related by the symbol \( <, >, \le \) or \( \ge \) form an:
A) Inequality
B) Equation
C) Identity
D) Expression
2 / 40An inequality containing the symbol \( \le \) or \( \ge \) is called a:
A) Strict inequality
B) Slack inequality
C) Double inequality
D) Linear equation
3 / 40Solve the linear inequality:
\( x - 3 < 2 \)
A) \( x < 1 \)
B) \( x > 5 \)
C) \( x > 1 \)
D) \( x < 5 \)
4 / 40If \( a > b \) and \( c > 0 \), then which of the following is true?
A) \( ac < bc \)
B) \( ac = bc \)
C) \( ac > bc \)
D) \( ac \le bc \)
5 / 40Solve the linear inequality:
\( x + 2 > 5 \)
A) \( x < 3 \)
B) \( x = 3 \)
C) \( x > 3 \)
D) \( x > 7 \)
6 / 40The inequality \( ax + b < 0 \) is properly known as a:
A) Strict inequality
B) Slack inequality
C) Quadratic equation
D) Identity relation
7 / 40If \( a > b \) and \( c < 0 \), then what happens when we multiply both sides by \( c \)?
A) \( ac > bc \)
B) \( ac \ge bc \)
C) \( ac = bc \)
D) \( ac < bc \)
8 / 40If \( x < 5 \), then multiplying both sides by \( -1 \) gives:
A) \( -x < -5 \)
B) \( -x > -5 \)
C) \( x > -5 \)
D) \( -x = -5 \)
9 / 40Represent the inequality \( 2 \le x \le 5 \) as an interval.
A) \( (2, 5) \)
B) \( (2, 5] \)
C) \( [2, 5] \)
D) \( [2, 5) \)
10 / 40Represent the inequality \( -1 < x < 4 \) as an interval.
A) \( [-1, 4] \)
B) \( (-1, 4] \)
C) \( [-1, 4) \)
D) \( (-1, 4) \)
11 / 40Solve the linear inequality:
\( 2x \ge 6 \)
A) \( x \ge 3 \)
B) \( x \le 3 \)
C) \( x > 3 \)
D) \( x < 3 \)
12 / 40Solve the linear inequality:
\( -2x < 4 \)
A) \( x < -2 \)
B) \( x > -2 \)
C) \( x < 2 \)
D) \( x > 2 \)
13 / 40Solve the inequality for integer values of \( x \):
\( 3x \le 5 \)
A) \( \{1, 2, 3, ...\} \)
B) \( \{0, 1, 2\} \)
C) \( \{..., -1, 0, 1\} \)
D) \( \{2, 3\} \)
14 / 40Represent the inequality \( x > 2 \) accurately as an interval.
A) \( (2, \infty) \)
B) \( [2, \infty) \)
C) \( (-\infty, 2) \)
D) \( (-\infty, 2] \)
15 / 40Represent the inequality \( x \le 5 \) accurately as an interval.
A) \( (5, \infty) \)
B) \( (-\infty, 5] \)
C) \( (-\infty, 5) \)
D) \( [5, \infty) \)
16 / 40Solve the linear inequality:
\( -\frac{x}{3} \le 2 \)
A) \( x \le -6 \)
B) \( x \ge 6 \)
C) \( x \le 6 \)
D) \( x \ge -6 \)
17 / 40Solve the inequality for natural numbers \( x \):
\( 2x < 7 \)
A) \( \{1, 2, 3\} \)
B) \( \{0, 1, 2, 3\} \)
C) \( \{1, 2\} \)
D) \( \{1, 2, 3, 4\} \)
18 / 40Solve the linear inequality:
\( 2x + 1 \ge 5 \)
A) \( x \le 2 \)
B) \( x > 2 \)
C) \( x \ge 2 \)
D) \( x < 2 \)
19 / 40Solve the linear inequality:
\( 5x - 3 < 12 \)
A) \( x > 3 \)
B) \( x < 3 \)
C) \( x \le 3 \)
D) \( x \ge 3 \)
20 / 40Solve the linear inequality:
\( 7x + 3 < 5x + 9 \)
A) \( x > 3 \)
B) \( x < 6 \)
C) \( x \le 3 \)
D) \( x < 3 \)
21 / 40Solve the linear inequality:
\( 4x - 5 > -5 \)
A) \( x > 0 \)
B) \( x < 0 \)
C) \( x \ge 0 \)
D) \( x \le 0 \)
22 / 40Solve the linear inequality:
\( -3x + 1 < -8 \)
A) \( x < 3 \)
B) \( x > 3 \)
C) \( x \le 3 \)
D) \( x \ge 3 \)
23 / 40Solve the linear inequality:
\( \frac{x}{2} > 4 \)
A) \( x < 8 \)
B) \( x \ge 8 \)
C) \( x > 8 \)
D) \( x \le 8 \)
24 / 40Solve the linear inequality:
\( 2(x - 1) < x + 5 \)
A) \( x > 7 \)
B) \( x < 6 \)
C) \( x \le 7 \)
D) \( x < 7 \)
25 / 40If \( x \in \mathbb{R} \), solve the inequality:
\( 3x + 2 < 2x + 5 \)
A) \( x < 3 \)
B) \( x > 3 \)
C) \( x \le 3 \)
D) \( x \ge 3 \)
26 / 40If \( x \in \mathbb{R} \), solve the inequality:
\( 5x - 3 \ge 3x + 1 \)
A) \( x > 2 \)
B) \( x \ge 2 \)
C) \( x \le 2 \)
D) \( x < 2 \)
27 / 40In interval notation, the symbol \( \infty \) (infinity) is always enclosed by which bracket?
A) Square bracket \( [ ] \)
B) Curly bracket \( \{ \} \)
C) Parentheses \( ( ) \)
D) Modulus bars \( | | \)
28 / 40If \( x > y \), then the value of the expression \( (x - y) \) is strictly:
A) Negative
B) Zero
C) Imaginary
D) Positive
29 / 40Which mathematical bracket is used to uniquely include the end points in an interval?
A) Square bracket \( [ ] \)
B) Parentheses \( ( ) \)
C) Curly bracket \( \{ \} \)
D) Angle bracket \( \langle \rangle \)
30 / 40Solve the simple linear inequality:
\( -x > 5 \)
A) \( x > -5 \)
B) \( x > 5 \)
C) \( x < -5 \)
D) \( x < 5 \)
31 / 40Which mathematical bracket is strictly used to exclude the end points in an interval?
A) Square bracket \( [ ] \)
B) Parentheses \( ( ) \)
C) Curly bracket \( \{ \} \)
D) Angle bracket \( \langle \rangle \)
32 / 40If \( x < y \), then the value of the expression \( (x - y) \) is strictly:
A) Positive
B) Zero
C) Irrational
D) Negative
33 / 40Solve the linear inequality:
\( \frac{3x}{2} < 6 \)
A) \( x < 4 \)
B) \( x > 4 \)
C) \( x \le 4 \)
D) \( x < 9 \)
34 / 40Solve the linear inequality:
\( -4x \ge -12 \)
A) \( x \ge 3 \)
B) \( x < 3 \)
C) \( x \le 3 \)
D) \( x \le -3 \)
35 / 40Solve the linear inequality:
\( x + 5 \le 5 \)
A) \( x \ge 0 \)
B) \( x \le 0 \)
C) \( x < 0 \)
D) \( x = 5 \)
36 / 40A complete set of values making an inequality a true statement is fundamentally called its:
A) Empty set
B) Sub region
C) Cartesian product
D) Solution set
37 / 40The mathematical notation \( x < 0 \) represents which set of numbers?
A) Negative real numbers
B) Positive real numbers
C) Non-negative numbers
D) All integers
38 / 40The mathematical notation \( x \ge 0 \) represents which set of numbers?
A) Positive integers only
B) Non-negative real numbers
C) Negative real numbers
D) Natural numbers
39 / 40The inequality \( 3 < 5 \) is purely known as a:
A) Literal inequality
B) Double inequality
C) Numerical inequality
D) Linear equation
40 / 40Solve the linear inequality:
\( x - 1 \ge 0 \)
A) \( x \le 1 \)
B) \( x < 1 \)
C) \( x > -1 \)
D) \( x \ge 1 \)
Test Analysis

Correct ✅ 0

Wrong ❌ 0

Unattempted ⚠️ 40

Accuracy 🎯 0%

Time Taken ⏱️ 00m 00s

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