Question 1190067
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The notation -5x means "-5 times x".


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 {{{-5x >= 25}}} to {{{x <= -5}}}


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


{{{-5x >= 25}}}


{{{-5x+5x >= 25+5x}}} Adding 5x to both sides


{{{0 >= 25+5x}}}


{{{0-25 >= 25+5x-25}}} Subtracting 25 from both sides


{{{-25 >= 5x}}}


{{{5x <= -25}}} Swap the positions of the left and right sides; flip the inequality sign as well


{{{5x/5 <= -25/5}}} Dividing both sides by 5


{{{x <= -5}}}


This is a somewhat longer route to end up with the same answer of {{{x <= -5}}}


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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