SOLUTION: What is the solution to the inequality -5x ≥ 25? a. x>5 b. x<5 c. x>-5 d.x<-5

Question 1190067: What is the solution to the inequality -5x ≥ 25?
a. x>5
b. x<5
c. x>-5
d.x<-5
Answer by math_tutor2020(3816) (Show Source): You can put this solution on YOUR website!

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 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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