To isolate x, we divide both sides by -5 to undo the multiplication done to x.
This will flip the inequality sign.
This inequality sign flip happens whenever we divide or multiply both sides by a negative number.
So we go from to
Weirdly your teacher didn't mention this as any of the answer choices. There's likely a typo somewhere.
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Here's another way to view things
Adding 5x to both sides
Subtracting 25 from both sides
Swap the positions of the left and right sides; flip the inequality sign as well
Dividing both sides by 5
This is a somewhat longer route to end up with the same answer of
The graph will have a closed circle end point at -5 on the number line. Shade to the left to visually describe values that are -5 or smaller.
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