Penyelesaian dari 1/2 (3x-6) ≤ 2/3 (2x-3) adalah... A. x ≥ -6
B. x < 1
C. x < -1
D. x < 6![]()
B. x < 1
C. x < -1
D. x < 6
[tex]\tt \frac{1}{2}(3x-6)\leq \frac{2}{3}(2x-3)\\ \\ \frac{1}{2}(3)x-\frac{1}{2}(6)\leq \frac{2}{3}(2)x- \frac{2}{3}(3)\\ \\\frac{3}{2} x-3\leq \frac{4}{3}x- \frac{2}{1}\\ \\ \frac{9-8}{6} x\leq 1\\\\x \leq \frac{1}{\frac{1}{6} }\\ \\x\leq \frac{1}{1} \times 6\\\\x\leq 6~(D)[/tex]
[tex] \frac{1}{2} (3x - 6) \leqslant \frac{2}{3} (2x - 3)[/tex]
[tex]3x - 6 \leqslant \frac{4}{3} \times 2x - 3)[/tex]
[tex]3x - 6 \leqslant \frac{8}{3} x - 4[/tex]
9x - 18 ≤ 8x - 12
9x - 8x ≤ -12 + 18
x ≤ -12 + 18
x ≤ 6
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