X/13 < 4/5

Since the opposite of multiplication is division, do I divide both sides by thirteen?
This is multiplication with inequalities.

3 answers

Yes, to solve for x, you would divide both sides of the inequality by 13. This is because dividing both sides by the same positive number does not change the direction of the inequality.
So, in this case what would the answer be?
To solve the inequality X/13 < 4/5, you would divide both sides by 13. This gives you:

X/13 < 4/5

Divide both sides by 13:

(X/13) * (13/1) < (4/5) * (13/1)

X < (52/5)

So the solution to the inequality is X < 52/5.
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