Answer:
x > 7
Step-by-step explanation:
Let x be the unknown number
x+3 > 10
Subtract 3 from each side
x+3-3 > 10-3
x > 7
[tex]\huge\textsf{Hey there!}[/tex]
[tex]\large\textsf{\underline{The sum of a number and 3 is greater than 10.}}[/tex]
[tex]\large\textsf{Well, the word sum simply means add. The word number}\\\large\textsf{ is unknown so we will label it as x.}[/tex]
[tex]\large\textsf{We will make this your equation: x + 3 } \mathsf{ > } \large\textsf{ 10}[/tex]
[tex]\large\textsf{Now lets solve for your answer.}\downarrow[/tex]
[tex]\large\textsf{x + 3 }\mathsf{>}\large\textsf{ 10}[/tex]
[tex]\large\textsf{SUBTRACT 3 to BOTH SIDES}[/tex]
[tex]\large\textsf{x + 3 - 3 } \mathsf{>} \large\textsf{ 10 - 3}[/tex]
[tex]\large\textsf{CANCEL out: 3 - 3 because that gives you 0}[/tex]
[tex]\large\textsf{KEEP: 10 - 3 because that helps what is being compared to the x-value}[/tex]
[tex]\large\textsf{x } \mathsf{>} \large\textsf{ 10 - 3}[/tex]
[tex]\large\textsf{10 - 3 = \bf 7}[/tex]
[tex]\large\textsf{\bf x } \mathsf{\bf >\ } \large\textsf{ \bf 7}[/tex]
[tex]\boxed{\boxed{\large\textsf{Therefore, your answer is: \bf x}>\textsf{\bf 7}\huge\textsf{ (Option B.)}}}\huge\checkmark[/tex]
[tex]\huge\textsf{Good luck on your assignment \& enjoy your day!}[/tex]
~[tex]\frak{Amphitrite1040:)}[/tex]
