Respuesta :
Answer:
No
Step-by-step explanation:
We need to tell that whether 8 satisfies the given inequality. The inequality is ,
[tex]:\implies[/tex] 48 < 4x
- now substitute x 12 is equal to 8 and check whether if it satisfies the given inequality.
Putting x = 8
[tex]:\implies[/tex] 48 < 4x
[tex]:\implies[/tex] 48 < 4 * 8
[tex]:\implies[/tex] 48 < 32
- this is not possible as 48 is greater than 32. x is equal to 8 is not a solution of the given inequality .
No it is not a solution .
[tex]\huge\text{Hey there!}[/tex]
[tex]\mathsf{48 < 4x}[/tex]
[tex]\large\textsf{TURN the given EQUATION}[/tex]
[tex]\mathsf{4x > 48}[/tex]
[tex]\large\textsf{DIVIDE 4 to BOTH SIDES}[/tex]
[tex]\mathsf{\dfrac{4x}{4}>\dfrac{48}{4}}[/tex]
[tex]\large\textsf{CANCEL out: }\mathsf{\dfrac{4}{4}}\large\textsf{ because that gives you 1}[/tex]
[tex]\large\textsf{KEEP: }\mathsf{\dfrac{48}{4}}\large\textsf{ because it helps us compare to the x value.}[/tex]
[tex]\mathsf{x >\dfrac{48}{4}}[/tex]
[tex]\mathsf{\dfrac{48}{4}}\\\\\mathsf{= 48\div4}\\\\\mathsf{\boxed{\bf = 12}}[/tex]
[tex]\boxed{\mathsf{x > 12}}[/tex]
[tex]\boxed{\boxed{\large\text{Answer: \bf NO, because }\mathsf{\bf x < 12}\large\text{ \bf \& it is an O.P.E.N. circle shaded}}}\\\boxed{\boxed{\large\text{\bf the right}}}\huge\checkmark[/tex]
[tex]\text{Good luck on your assignment and enjoy your day!}[/tex]
~[tex]\frak{Amphitrite1040:)}[/tex]