Answer:
-2 [tex]\leq[/tex] x [tex]\leq[/tex] [tex]-\frac{2}{3}[/tex]
Step-by-step explanation:
|3x +4| [tex]\leq[/tex] 2
1) When the value is positive:
3x + 4 [tex]\leq[/tex] 2
3x [tex]\leq[/tex] -2
x [tex]\leq[/tex] [tex]-\frac{2}{3}[/tex]
2) When the value is negative
3x + 4 [tex]\geq[/tex] -2 <-- (flip the sign)
3x [tex]\geq[/tex] -6
x [tex]\geq[/tex] -2
