2023
Mathematics
67ca00ce0c643c71d77dee1f
Solve for x: 3(x – 1) ≤ 2 (x – 3)
A.
x ≤ -3
B.
x ≥ -3
C.
x ≤ 3
D.
x ≥ 3
Correct Answer: x ≤ -3
Explanation
3(x – 1) ≤ 2 (x – 3) = 3x – 3 ≤ 2x – 6 Add 3 to both sides = 3x – 3+ 3 ≤ 2x – 6+ 3 = 3x ≤ 2x – 3 Subtract 2x from both the sides = 3x – 2x ≤ 2x – 3 – 2x ∴ x ≤ -3
3(x – 1) ≤ 2 (x – 3) = 3x – 3 ≤ 2x – 6 Add 3 to both sides = 3x – 3+ 3 ≤ 2x – 6+ 3 = 3x ≤ 2x – 3 Subtract 2x from both the sides = 3x – 2x ≤ 2x – 3 – 2x ∴ x ≤ -3THIS WEEK's
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