Use interval notation to write the solution set of the inequality below. $$ 3 \mathrm{x}+4

Question

Use interval notation to write the solution set of the inequality below. $$ 3 \mathrm{x}+4<-4 $$ The solution sel is $$ \square $$.

UpStudy AI · Accepted Answer

To solve the inequality

$$ 3x + 4 < -4, $$

follow these steps:

1. **Subtract 4 from both sides:**
   
   $$
   3x + 4 - 4 < -4 - 4 \implies 3x < -8
   $$

2. **Divide both sides by 3:**
   
   $$
   x < \frac{-8}{3}
   $$

The solution set includes all real numbers less than $$-\frac{8}{3}$$.

**In interval notation, the solution set is:**

$$
(-\infty,\, -\tfrac{8}{3})
$$
The solution set is $$ (-\infty,\, -\frac{8}{3}) $$.

Use interval notation to write the solution set of the inequality below. \[ 3 \mathrm{x}+4<-4 \] The solution sel is \( \square \).