Solve the inequality 2 ≤ 3x - 4 ≤ 5

Solution:

2 ≤ 3x - 4 ≤ 5

⇒ 2 + 4 ≤ 3x - 4 + 4 ≤ 5 + 4

⇒ 6 ≤ 3x ≤ 9

⇒ 2 ≤ x ≤ 3

Thus, all the real numbers, x,

which are greater than or equal to 2 but less than or equal to 3, are the solutions to the given inequality.

The solution set for the given inequality is [2, 3]

NCERT Solutions Class 11 Maths Chapter 6 Exercise ME Question 1

Solve the inequality 2 ≤ 3x - 4 ≤ 5

Summary:

Linear inequations 2 ≤ 3x - 4 ≤ 5 are given. We have found that the solution set for the given inequality is [2, 3]