The solution of 3(x-1) ≤ 2(x-3) is

Correct Answer is : x≤−3x ≤-3x≤−3

Correct Answer is : x≤−3x ≤-3x≤−3

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KCET 2026 Mathematics Solved Paper

Question : 1 of 60

Marks: +1, -0

3(x-1) \leq 2(x-3)

Solution:

Concept:

Solving a linear inequality by simplifying and isolating the variable.

Explanation:

Given inequality:

3(x-1) \leq 2(x-3)

Expand both sides:

3x - 3 \leq 2x - 6

Subtract

2x

from both sides:

x - 3 \leq -6

Add

3

to both sides:

x \leq -3

This gives the solution set for

x

Answer:

x \leq -3

Hence, the correct option is Option A.

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