We want all values of t that make 4t + 2 greater than 10.
- Subtract 2 from both sides to isolate the term with t:
4t + 2 - 2 > 10 - 2, so 4t > 8. - Divide both sides by 4. Since 4 is positive, the direction of the inequality does not change:
t > 8/4, so t > 2.
Final answer: t > 2.
In interval notation: (2, ∞).
Quick check: if t = 3, then 4(3) + 2 = 14 > 10 (true). If t = 2, then 4(2) + 2 = 10 > 10 (false), so 2 is not included.