purdygang11 purdygang11
  • 22-02-2019
  • Mathematics
contestada

3x-1/4<8

Solve and graph

Respuesta :

gmany
gmany gmany
  • 24-02-2019

Answer:

[tex]\large\boxed{x<\dfrac{11}{4}\to x\in\left(-\infty,\ \dfrac{11}{4}\right)}[/tex]

Step-by-step explanation:

[tex]3x-\dfrac{1}{4}<8\qquad\text{multiply both sides by 4}\\\\12x-1<32\qquad\text{add 1 to both sides}\\\\12x<33\qquad\text{divide both sides by 12}\\\\x<\dfrac{33}{12}\\\\x<\dfrac{33:3}{12:3}\\\\x<\dfrac{11}{4}[/tex]

<, > - open circle

≤, ≥ - closed circle

<, ≤ - draw the line to the left

>, ≥ - draw the line to the right

Ver imagen gmany
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