Match the LIST-I with LIST-II, LIST-I Inequality, LIST-II Solution set, A., 4x + 3 ≤ 6x + 7, I., x (-∞, -2), B., 5x - 5 > 3x - 1, II., x (-∞, 2], C., 4x - 9 > 6x - 5, III., x [-2, ∞), D., 3x - 1 ≤ 5, IV., x (2, ∞), Choose the correct answer from the options given below: Option 1: A-I, B-IV, C-III, D-II Option 2: A-III, B-IV, C-I, D-II Option 3: A-II, B-I, C-IV, D-III Option 4: A-I, B-II, C-III, D-IV

Answer: A-III, B-IV, C-I, D-II. Solution: Solving each: 4x+3≤ 6x+7 gives x≥ -2 (III); 5x-5>3x-1 gives x>2 (IV); 4x-9>6x-5 gives x<-2 (I); and 3x-1≤ 5 gives x≤ 2 (II).

Algebra

Inequalities

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Match the LIST-I with LIST-II

LIST-I Inequality LIST-II Solution set
A. $4x + 3 \le 6x + 7$ I. $x \in (-\infty, -2)$
B. $5x - 5 > 3x - 1$ II. $x \in (-\infty, 2]$
C. $4x - 9 > 6x - 5$ III. $x \in [-2, \infty)$
D. $3x - 1 \le 5$ IV. $x \in (2, \infty)$

Choose the correct answer from the options given below:

LIST-I Inequality		LIST-II Solution set
A.	$4x + 3 \le 6x + 7$	I.	$x \in (-\infty, -2)$
B.	$5x - 5 > 3x - 1$	II.	$x \in (-\infty, 2]$
C.	$4x - 9 > 6x - 5$	III.	$x \in [-2, \infty)$
D.	$3x - 1 \le 5$	IV.	$x \in (2, \infty)$

A-I, B-IV, C-III, D-II

A-III, B-IV, C-I, D-II

A-II, B-I, C-IV, D-III

A-I, B-II, C-III, D-IV

✅ Correct Option: 2

Solving each: $4x+3\le 6x+7$ gives $x\ge -2$ (III); $5x-5>3x-1$ gives $x>2$ (IV); $4x-9>6x-5$ gives $x<-2$ (I); and $3x-1\le 5$ gives $x\le 2$ (II).

2024: 16 May Shift 1

The solution set of the inequality $|3 x| \geq|6-3 x|$ is :

2025: 3 June Shift 1

The solution set of the linear inequation $|4x - 3| \leq \frac{3}{4}$ is:

2026: 31 May Shift 2

Which of the following facts are not true ?( Where $R$ is set of real numbers)

A. $|x+y| \le |x|+|y|, x,y \in R$

B. $|x-y| \ge |x|+|y|, x,y \in R$

C. $|x+y| \ge |x|+|y|, x,y \in R$

D. $|x-y| \le |x|+|y|, x,y \in R$

Choose the correct answer from the options given below:

2026: 30 May Shift 1

Match the LIST-I with LIST-II

	LIST-I (Inequality)		LIST-II (Solution Set)
A.	$\vert 3x-5 \vert \geq 4$	I.	$(-\infty,-1] \cup \left[\dfrac{7}{3},\infty\right)$
B.	$\vert 3x \vert \geq \vert 6-3x \vert$	II.	$(-\infty,-4] \cup [2,\infty)$
C.	$\vert x+1 \vert \geq 3$	III.	$[1,\infty)$
D.	$\vert 2-3x \vert \geq 5$	IV.	$\left(-\infty,\dfrac{1}{3}\right] \cup [3,\infty)$

Choose the correct answer from the options given below:

2026: 21 May Shift 1

Which one of the following inequalities are satisfied by $x = 10$ ?

2025: 13 May Shift 2

If $a > b$ and $c < 0$ , then which of the following is NOT correct?

(A) $ac < bc$

(B) $a + c < b + c$

(D) $ac > bc$

Choose the correct answer from the options given below:

Solution

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