KCET · Maths · Basic of Mathematics
The solution of \(3(x - 1) \leq 2(x - 3)\) is
- A \(x \leq -3\)
- B \(x \geq -3\)
- C \(x \leq 3\)
- D \(x \geq 3\)
Answer & Solution
Correct Answer
(A) \(x \leq -3\)
Step-by-step Solution
Detailed explanation
Given the inequality \(3(x - 1) \leq 2(x - 3)\)
Expanding both sides, we get:
\(3x - 3 \leq 2x - 6\)
Subtracting \(2x\) from both sides:
\(x - 3 \leq -6\)
Adding \(3\) to both sides:
\(x \leq -3\)
Answer: \(x \leq -3\)
Expanding both sides, we get:
\(3x - 3 \leq 2x - 6\)
Subtracting \(2x\) from both sides:
\(x - 3 \leq -6\)
Adding \(3\) to both sides:
\(x \leq -3\)
Answer: \(x \leq -3\)
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