Solve. Write your answer interval and set notation. $$ -7 a-11

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

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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:** $$ \{\, a \mid a > -4 \,\} $$ $$ a > -4 $$ Interval Notation: $$ (-4, \infty) $$ Set Notation: $$ \{ a \mid a > -4 \} $$

Solve. Write your answer interval and set notation.

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Interval Notation
Set Notation

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Solve. Write your answer interval and set notation. Solution Interval Notation Set Notation