Algebra

Inequalities

Medium

applied

The number that satisfies the inequality $\frac{29}{4} < \frac{x+20}{4} < 8$ is

$\frac{\pi}{2}$

$\pi$

$2\pi$

$3\pi$

✅ Correct Option: 4

Multiplying throughout by 4 gives $29 < x + 20 < 32$ , so $9 < x < 12$ . Among the options only $3\pi \approx 9.42$ lies in this interval.

2026: 22 May Shift 1

Match List-I with List-II

List-I	List-II
Inequalities	Solution set
(A) If $\left\vert 3 - 5x \right\vert < 7$ , then $x \in$	(I) $\left[-\dfrac{5}{2}, \infty\right)$
(B) If $3x - 7 > 5x - 1$ , then $x \in$	(II) $(-\infty, -3)$
(C) If $\dfrac{x}{3} > \dfrac{x}{2} + 1$ , then $x \in$	(III) $\left(-\dfrac{4}{5}, 2\right)$
(D) If $5x + 4 \leq 7x + 9$ , then $x \in$	(IV) $(-\infty, -6)$

Choose the correct answer from the options given below:

2025: 30 May Shift 2

The solution set of the inequality $\frac{2x+3}{x-1} < 0$ is:

2026: 29 May Shift 2

The solution to the inequality $-12 < \frac{2x-1}{3} < 12$ is

2026: 29 May Shift 2

Which of the following shaded regions represents the solution to the inequation $|x|+|y| \leq 1$ ?

2025: 22 May Shift 1

The solution set of the inequation $4x + 3y > 5$ is

2025: 29 May Shift 2

If $\frac{1}{|x| - 3} \leq \frac{1}{2}$ , then value of $x$ :

The number that satisfies the inequality 294<x+204<8\frac{29}{4} < \frac{x+20}{4} < 8429​<4x+20​<8 is