Answer:
[tex]c>9[/tex]
see the explanation
Step-by-step explanation:
we have
[tex]\frac{2c}{3}+1>7[/tex]
Solve for c
subtract 1 both sides
[tex]\frac{2c}{3}>7-1[/tex]
[tex]\frac{2c}{3}>6[/tex]
Multiply by 3/2 both sides to remove the fraction in the left side
[tex]c>\frac{3}{2}(6)[/tex]
[tex]c>9[/tex]
The solution is the interval for c (9,∞)
In a number line the solution is the shaded area at right of c=9 (open circle)
