Senior Secondary School Mathematics FOR CLASS 11>Chapter 6 - Linear Inequations (In one variable)>EXERCISE 6A>Q 11

EASY

11th CBSE

IMPORTANT

Earn 100

Solve the following inequation and represent the solution set on the number line.

$\frac{2 x - 1}{12} - \frac{x - 1}{3} < \frac{3 x + 1}{4}$ where $x \in R$ .

Important Questions on Linear Inequations (In one variable)

EASY

11th CBSE

IMPORTANT

Senior Secondary School Mathematics FOR CLASS 11>Chapter 6 - Linear Inequations (In one variable)>EXERCISE 6A>Q 12

Solve the following inequation and represent the solution set on the number line.

$\frac{x}{4} < \frac{(5 x - 2)}{3} - \frac{(7 x - 3)}{5}$ where $x \in R$ .

EASY

11th CBSE

IMPORTANT

Senior Secondary School Mathematics FOR CLASS 11>Chapter 6 - Linear Inequations (In one variable)>EXERCISE 6A>Q 13

Solve the following inequations and represent the solution set on the number line.

$\frac{(2 x - 1)}{3} \geq \frac{(3 x - 2)}{4} - \frac{(2 - x)}{5}$ where $x \in R$ .

EASY

11th CBSE

IMPORTANT

Senior Secondary School Mathematics FOR CLASS 11>Chapter 6 - Linear Inequations (In one variable)>EXERCISE 6A>Q 14

If

\frac{x - 3}{x + 1} < 0, x \in R

is

(- 1, k)

, then find

k

.

EASY

11th CBSE

IMPORTANT

Senior Secondary School Mathematics FOR CLASS 11>Chapter 6 - Linear Inequations (In one variable)>EXERCISE 6A>Q 15

If

\frac{x - 3}{x + 4} > 0, x \in R

is

(k, 3)

, then find

k

.

EASY

11th CBSE

IMPORTANT

Senior Secondary School Mathematics FOR CLASS 11>Chapter 6 - Linear Inequations (In one variable)>EXERCISE 6A>Q 16

If

\frac{2 x - 3}{3 x - 7} > 0, x \in R

is

(\frac{k}{2}, \frac{7}{k})

, then find the value of

k

.

EASY

11th CBSE

IMPORTANT

Senior Secondary School Mathematics FOR CLASS 11>Chapter 6 - Linear Inequations (In one variable)>EXERCISE 6A>Q 17

If

\frac{x - 7}{x - 2} \geq 0, x \in R

is

(- \infty, k) \cup [7, \infty)

, then find

k

.

MEDIUM

11th CBSE

IMPORTANT

Senior Secondary School Mathematics FOR CLASS 11>Chapter 6 - Linear Inequations (In one variable)>EXERCISE 6A>Q 18

If

\frac{3}{x - 2} > 2, x \in R

is

(- \infty, k) \cup (\frac{a}{k}, \infty)

, then find

a + k

.

MEDIUM

11th CBSE

IMPORTANT

Senior Secondary School Mathematics FOR CLASS 11>Chapter 6 - Linear Inequations (In one variable)>EXERCISE 6A>Q 19

If

\frac{1}{x - 1} \leq 2, x \in R

is

(- \infty, k) \cup [\frac{3}{a}, \infty)

, then find

a + k

.