Final answer:
To solve the inequality 3/4 + 3/4 − 1/2 > −1, combine like terms, isolate the variable , and simplify. The solution to the inequality is > −3⅓.
Step-by-step explanation:
To solve the inequality ⅓ + ⅓ − ⅓ > −1, we need to simplify and isolate the variable . First, we can combine like terms by combining the fractions on the left side of the inequality:
⅓ + ⅓ − ⅓ > −1
⅕ + ⅓ > −1
Next, we can subtract ⅓ from both sides:
⅕ > −1 − ⅓
⅕ > −⅓
Finally, we can multiply both sides by 3 to isolate :
⅕ × 3 > −⅓ × 3
> −3⅓
Therefore, the solution to the inequality is > −3⅓, or any value greater than −3⅓.