11th maths exercise 2.2

JK MATHS

                11th Maths Solutions Chapter 2 Basic Algebra Ex 2.2

Question 1.

Solve for x.

(i) |3 – x| < 7

Solution:

– 7 < 3 – x < 7

– 7 – 3 < – x < 7 – 3

– 10 < – x < 4 10 > x > – 4

– 4 < x < 10

∴ The solution set is x ∈ (-4, 10)

(ii) |4x – 5| ≥ -2

Solution:

(iii)

Solution:

(iv) |x| – 10 < -3

Solution:

|x| < -3 + 10 (= 7)

|x| < 7 ⇒ -7 < x < 7

Question 2.

Solve 1|2x−1|<6 and express the solution using the interval notation.

Solution:

Question 3.

Solve -3|x| + 5 ≤ – 2 and graph the solution set in a number line.

Solution:

-3 |x| + 5 ≤ – 2

-3 |x| ≤ – 2 – 5

-3 |x| ≤ – 7

3 |x| ≥ 7

|x| ≥ 73

Question 4.

Solve 2|x + 1| – 6 ≤ 7 and graph the solution set in a number line.

Solution:

Question 5.

Solution:

Question 6.

Solve |5x – 12| < -2

Solution: