Question

Если известно что 5 ≤ x <9 2/3 , оцените выражение -3х+6/7​

Answer 1

Пошаговое объяснение:

$5\leq x < 9\frac{2}{3}\\5\leq x < \frac{29}{3} \ \ \ \ \ \ \ \ \ \ \ \ \ |*(-3)\\ -15\geq -3x>-29\ \ \ \ \ |+\frac{6}{7}\\-15+\frac{6}{7}\geq -3x+\frac{6}{7} >-29+\frac{6}{7}\\-14\frac{1}{7}\geq -3x+\frac{6}{7} >-28\frac{1}{7}$

Answer 2

Ответ:

$5\leq x<9\dfrac{2}{3}\\\\5\leq x<\dfrac{29}{3}\\\\15\leq 3x<29\\\\-29<-3x\leq -15\\\\-29+\dfrac{6}{7}<-3x+\dfrac{6}{7}\leq -15+\dfrac{6}{7}\\\\-\dfrac{197}{7} <-3x+\dfrac{6}{7}\leq -\dfrac{99}{7}\\\\-28\dfrac{1}{7}<-3x+\dfrac{6}{7}\leq -14\dfrac{1}{7}\\\\\\-3x+\dfrac{6}{7}\in \Big(-28\dfrac{1}{7}\ ;\ -14\dfrac{1}{7}\ \Big]$