Solve. Write your answer interval and set notation. \( -7 a-11<1-4 a \) Solution Interval Notation Set Notation

To solve the inequality: \[ -7a - 11 < 1 - 4a \] **Step-by-Step Solution:** 1. **Bring all terms containing \( a \) to one side and constant terms to the other side.** Add \( 7a \) to both sides: \[ -7a - 11 + 7a < 1 - 4a + 7a \] Simplifies to: \[ -11 < 1 + 3a \] 2. **Isolate the term with \( a \).** Subtract \( 1 \) from both sides: \[ -11 - 1 < 3a \] Simplifies to: \[ -12 < 3a \] 3. **Solve for \( a \).** Divide both sides by \( 3 \): \[ \frac{-12}{3} < a \] Simplifies to: \[ -4 < a \] Which can also be written as: \[ a > -4 \] **Final Answer:** - **Interval Notation:** \[ (-4, \infty) \] - **Set Notation:** \[ \{\, a \mid a > -4 \,\} \]