Write the values of $x$ that satisfy $-8 \le x + 17 < -3 - 5x$ as an interval.

ABJeIIy Apr 3, 2024

#1**0 **

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)

CoolBerth Apr 3, 2024