+1839 Write the values of $x$ that satisfy $-8 \le x + 17 < -3 - 5x$ as an interval.
+6 Simplify the inequality:
−8≤X+17<−3−5X
Subtract 17 from all parts of the inequality:
−8−17≤X+17−17<−3−5X−17
−25≤X<−20−5X
Now, isolate X on one side of the inequality:
Add 5X to all parts of the inequality:
5X−25≤X+5X<−20−5X+5X
5X−25≤6X<−20
Subtract 5X from all parts of the inequality:
5X−25−5X≤6X−5X<−20−5X
−25≤X<−20
So, the values of X that satisfy the inequality are in the interval [−25,−20)
