求解不等式1/4(x-2)+1/5(x-3)≥-3-1/6(x-4)

问题描述:

求解不等式1/4(x-2)+1/5(x-3)≥-3-1/6(x-4)

乘以60
15(x-2)+12(x-3)≥-180-10(x-4)
15x-30+12x-36≥-180-10x+40
15x+12x+10x≥-180+40+30+36
37x≥-74
∴x≥-2

1/4(x-2)+1/5(x-3)≥-3-1/6(x-4)
乘以60得
15(x-2)+12(x-3)≥-180-30(x-4)
15x-30+12x-36≥-180-30x+120
27x+30x≥-60+66
57x≥6
x≥6/57
x≥2/19