Solve the inequality. Graph and check your solutions.
2/3+a>-4/3
To solve the inequality, we need to first isolate the variable "a" by subtracting 2/3 from both sides:
2/3 + a > -4/3
a > -2/3 - 4/3
a > -6/3
a > -2
Now that we have isolated the variable "a", we can graph the solution on a number line. Since the inequality is strictly greater than -2, we will use an open circle at -2 and shade to the right:
-----------------------●----------------->
-3 -2 -1 0 1
To check our solution, we can pick a number greater than -2 and substitute it back into the original inequality:
Let's try a = 0
2/3 + 0 > -4/3
2/3 > -4/3
2/3 > -4/3
Since 2/3 is indeed greater than -4/3, our solution is correct.