Question

ХЕЕЕЛП МИ 9 класс
60 б

Answer 1

$1)quad (x-3)(x-4)(x-5) textless 0\\---(3)+++(4)---(5)+++\\xin (-infty ,3)cup (4,5)\\2)quad (x^2+2x)(4x-2) geq 0\\2x(x+2)(2x-1) geq 0\\---[-2]+++[0]---[frac{1}{2}]+++\\xin [-2,0, ]cup [frac{1}{2},+infty )\\3)quad frac{x-5}{x+3} textgreater 0qquad +++(-3)---(5)+++\\xin (-infty ,-3)cup (5,+infty )\\ 4)quad frac{3x+1}{x-2 } textless 1; , ; frac{3x+1-x+2}{x-2} textless 0; ,; ; frac{2x+3}{x-2} textless 0\\+++(-3/2)---(2)+++\\xin (-frac{3}{2},2)$

$5)quad frac{x^2-16}{x+1} leq 0; ,; ; frac{(x-4)(x+4)}{x+1} leq 0\\---[-4]+++(-1)---[, 4, ]+++\\xin (-infty ,-4, ]cup (-1,4, ]\\6)quad left { {{(x+3)(x-2) textgreater 0} atop {(x+4)(x-3) leq 0}} right. ; left { {{xin (-infty ,-3)cup(2,+infty )} atop {xin [-4,3, ]}} right. ; xin [-4,-3)cup (2,3, ]\\7)quad left { {{(x-3)(x-1) geq 0} atop {x textgreater 2}} right. ; left { {{xin (-infty ,1, ]cup [, 3,+infty )} atop {xin (2,+infty )}} right. ; xin [, 3,+infty )$

$|x| textless 4qquad to quad xin (-4,4)\\xin [, 3,4)$