Answer:
The correct option is B) x > 2.
Step-by-step explanation:
Consider the provided inequality.
[tex]5x+\frac{1}{3}(3x+6)>14[/tex]
Distributive property:
[tex]a(b+c)=ab+ac[/tex]
Use the distributive property to simplify the above inequality.
[tex]5x+\frac{1}{3}\times 3x+\frac{1}{3}\times 6>14[/tex]
[tex]5x+x+2>14[/tex]
Add the like terms
[tex]6x+2>14[/tex]
Subtract 2 from both sides.
[tex]6x+2-2>14-2[/tex]
[tex]6x>12[/tex]
Divide both sides by 6.
[tex]\frac{6x}{6}>\frac{12}{6}[/tex]
[tex]x>2[/tex]
Hence, the correct option is B) x > 2.
