Question

решите неравенства
a)0.3(x-2)-0.8>-4.4
b)15-3x/12≥5
c)2x-1/3<5
d)3>6-x/4
e)2/7(x-4)>3
f)7-2x/2≥3x-7/4

Answer 1

$1); ; 0,3(x-2)-0,8 textless -4,4\\0,3x-0,6-0,8 textless -4,4\\0,3x textless -3; ,; ; ; underline {x textless -10}\\2); ; frac{15-3x}{12} geq 5\\15-3x geq 60; ,; ; -3x textgreater 45; ,; ; ; underline {x textless -15}\\ 3); ; frac{2x-1}{3} textless 5\\2x-1 textless 15; ,; ; 2x textless 16; ,; ; underline {x textless 8} \\4); ; 3 textgreater frac{6-x}{4} \\12 textgreater 6-x; ,; ; 6 textgreater -x; ,; ; underline {x textgreater -6}\\5); ; frac{2}{7(x-4)} textgreater 3; ,; ; frac{2}{7(x-4)}-3 textgreater 0\\frac{2-21(x-4)}{7(x-4)} textgreater 0; ,; frac {-21x+86}{7(x-4)} textgreater 0; ,; frac{-(21x-86)}{7(x-4)} textgreater 0,$

$frac{21(x-frac{86}{21})}{7(x-4)} textless 0; ,; ; +++(4)---(frac{86}{21})+++\\underline {xin (4;4frac{2}{21})}\\6); ; frac{7-2x}{2} geq frac{3x-7}{4} ; |cdot 4\\2(7-2x) geq 3x-7\\14-4x geq 3x-7\\21 geq 7x\\underline {xleq 3}$