Question

|4x-3|≥5x-6 пожалуста помогите

Answer 1

Ответ:

{ 4x-3≥0

{ 4x-3≥5x-6

4x≥3

x≥3/4

4x-5x≥ -6+3

-x≥ -3

x≤3

{x≥3/4

{x≤3

x є [3/4; 3]

{ 4x-3<0

{ -4x+3≥5x-6

4x<3

x<3/4

-4x-5x≥ -6-3

-9x≥ -9

x≤1

{ x<3/4

{ x≤1

x є (-∞; 3/4)

x є (-∞; 3]

Answer 2

Объяснение:

$|4x-3|\geq 5x-6\ \ \ \ \Rightarrow\\\left [ {{4x-3\geq 5x-6} \atop {-(4x-3)\geq 5x-6}} \right. \ \ \ \ \left [ {{4x-3\geq 5x-6} \atop {-4x+3\geq 5x-6}} \right.\ \ \ \ \left [ {{x\leq 3} \atop {9x\leq 9\ |:9}} \right. \ \ \ \ \left [ {{x\leq 3} \atop {x\leq 1}} \right. \ \ \ \ \ \Rightarrow\ \ \ \ x\leq 3.$

Ответ: x∈(-∞;3].